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Rad 4: |
Rad 4: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">-7</td> | | <td class="ntext" width="50%">-7</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">1</td> | | <td class="ntext" width="50%">1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">11</td> | | <td class="ntext" width="50%">11</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">1</td> | | <td class="ntext" width="50%">1</td> |
| </tr> | | </tr> |
Rad 23: |
Rad 23: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">0</td> | | <td class="ntext" width="50%">0</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">-1</td> | | <td class="ntext" width="50%">-1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">-25</td> | | <td class="ntext" width="50%">-25</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">-19</td> | | <td class="ntext" width="50%">-19</td> |
| </tr> | | </tr> |
Rad 43: |
Rad 43: |
| | | |
| <tr align="left" valign="top"> | | <tr align="left" valign="top"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> | | <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">heltalen, rationella talen</td> | | <td class="ntext" width="33%">heltalen, rationella talen</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> | | <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> |
| </tr> | | </tr> |
| <tr align="left" valign="top"> | | <tr align="left" valign="top"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">heltalen, rationella talen</td> | | <td class="ntext" width="33%">heltalen, rationella talen</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">heltalen, rationella talen</td> | | <td class="ntext" width="33%">heltalen, rationella talen</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> | | <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> |
| </tr> | | </tr> |
| <tr align="left" valign="top"> | | <tr align="left" valign="top"> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="33%">rationella talen</td> | | <td class="ntext" width="33%">rationella talen</td> |
- | <td class="ntext">h)</td> | + | <td class="ntext">h) </td> |
| <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> | | <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> |
- | <td class="ntext">i)</td> | + | <td class="ntext">i) </td> |
| <td class="ntext" width="33%">irrationella talen</td> | | <td class="ntext" width="33%">irrationella talen</td> |
| </tr> | | </tr> |
| <tr align="left" valign="top"> | | <tr align="left" valign="top"> |
- | <td class="ntext">j)</td> | + | <td class="ntext">j) </td> |
| <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> | | <td class="ntext" width="33%">naturliga talen, heltalen, rationella talen</td> |
- | <td class="ntext">k)</td> | + | <td class="ntext">k) </td> |
| <td class="ntext" width="33%">irrationella talen</td> | | <td class="ntext" width="33%">irrationella talen</td> |
| <td class="ntext">l)</td> | | <td class="ntext">l)</td> |
Rad 82: |
Rad 82: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">\displaystyle \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3}</td> | | <td class="ntext" width="100%">\displaystyle \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3}</td> |
| </tr> | | </tr> |
| <tr> | | <tr> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">\displaystyle -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5}</td> | | <td class="ntext" width="100%">\displaystyle -\frac{1}{2}<-\frac{1}{3}<-\frac{3}{10}<-\frac{1}{5}</td> |
| </tr> | | </tr> |
| <tr> | | <tr> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">\displaystyle \frac{1}{2}<\frac{3}{5}<\frac{21}{34}<\frac{5}{8}<\frac{2}{3}</td> | | <td class="ntext" width="100%">\displaystyle \frac{1}{2}<\frac{3}{5}<\frac{21}{34}<\frac{5}{8}<\frac{2}{3}</td> |
| </tr> | | </tr> |
Rad 101: |
Rad 101: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">1{,}167</td> | | <td class="ntext" width="25%">1{,}167</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">2{,}250</td> | | <td class="ntext" width="25%">2{,}250</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">0{,}286</td> | | <td class="ntext" width="25%">0{,}286</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">1{,}414</td> | | <td class="ntext" width="25%">1{,}414</td> |
| </tr> | | </tr> |
Rad 118: |
Rad 118: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">Talet är rationellt och lika med \,314/100 = 157/50\,.</td> | | <td class="ntext" width="100%">Talet är rationellt och lika med \,314/100 = 157/50\,.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">Talet är rationellt och är lika med \,31413/9999 = 10471/3333\,.</td> | | <td class="ntext" width="100%">Talet är rationellt och är lika med \,31413/9999 = 10471/3333\,.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">Talet är rationellt och lika med \,1999/9990\,.</td> | | <td class="ntext" width="100%">Talet är rationellt och lika med \,1999/9990\,.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="100%">Talet är irrationellt.</td> | | <td class="ntext" width="100%">Talet är irrationellt.</td> |
| </tr> | | </tr> |
Rad 141: |
Rad 141: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{93}{28}</td> | | <td class="ntext" width="33%">\displaystyle \frac{93}{28}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{3}{35}</td> | | <td class="ntext" width="33%">\displaystyle \frac{3}{35}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle -\frac{7}{30}</td> | | <td class="ntext" width="33%">\displaystyle -\frac{7}{30}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{47}{60}</td> | | <td class="ntext" width="33%">\displaystyle \frac{47}{60}</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{47}{84}</td> | | <td class="ntext" width="33%">\displaystyle \frac{47}{84}</td> |
| </tr> | | </tr> |
Rad 162: |
Rad 162: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\displaystyle {30}</td> | | <td class="ntext" width="50%">\displaystyle {30}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\displaystyle {8}</td> | | <td class="ntext" width="50%">\displaystyle {8}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\displaystyle {84}</td> | | <td class="ntext" width="50%">\displaystyle {84}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\displaystyle {225}</td> | | <td class="ntext" width="50%">\displaystyle {225}</td> |
| </tr> | | </tr> |
Rad 182: |
Rad 182: |
| | | |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{19}{100}</td> | | <td class="ntext" width="50%">\displaystyle \frac{19}{100}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{1}{240}</td> | | <td class="ntext" width="50%">\displaystyle \frac{1}{240}</td> |
| </tr> | | </tr> |
Rad 195: |
Rad 195: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{6}{7}</td> | | <td class="ntext" width="33%">\displaystyle \frac{6}{7}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{16}{21}</td> | | <td class="ntext" width="33%">\displaystyle \frac{16}{21}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{6}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{6}</td> |
| </tr> | | </tr> |
Rad 211: |
Rad 211: |
| | | |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{105}{4}</td> | | <td class="ntext" width="33%">\displaystyle \frac{105}{4}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">-5</td> | | <td class="ntext" width="33%">-5</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{8}{55}</td> | | <td class="ntext" width="33%">\displaystyle \frac{8}{55}</td> |
| </tr> | | </tr> |
Rad 231: |
Rad 231: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">72</td> | | <td class="ntext" width="25%">72</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">3</td> | | <td class="ntext" width="25%">3</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">-125</td> | | <td class="ntext" width="25%">-125</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{27}{8}</td> | | <td class="ntext" width="25%">\displaystyle \frac{27}{8}</td> |
| </tr> | | </tr> |
Rad 248: |
Rad 248: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">2^6</td> | | <td class="ntext" width="33%">2^6</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">2^{-2}</td> | | <td class="ntext" width="33%">2^{-2}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">2^0</td> | | <td class="ntext" width="33%">2^0</td> |
| </tr> | | </tr> |
Rad 263: |
Rad 263: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="20%">3^{-1}</td> | | <td class="ntext" width="20%">3^{-1}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="20%">3^5</td> | | <td class="ntext" width="20%">3^5</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="20%">3^4</td> | | <td class="ntext" width="20%">3^4</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="20%">3^{-3}</td> | | <td class="ntext" width="20%">3^{-3}</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="20%">3^{-3}</td> | | <td class="ntext" width="20%">3^{-3}</td> |
| </tr> | | </tr> |
Rad 282: |
Rad 282: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">4</td> | | <td class="ntext" width="33%">4</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">3</td> | | <td class="ntext" width="33%">3</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">625</td> | | <td class="ntext" width="33%">625</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">16</td> | | <td class="ntext" width="33%">16</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{3750}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{3750}</td> |
| </tr> | | </tr> |
Rad 303: |
Rad 303: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">2</td> | | <td class="ntext" width="33%">2</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{2}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">27</td> | | <td class="ntext" width="33%">27</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">2209</td> | | <td class="ntext" width="33%">2209</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">9</td> | | <td class="ntext" width="33%">9</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{25}{3}</td> | | <td class="ntext" width="33%">\displaystyle \frac{25}{3}</td> |
| </tr> | | </tr> |
Rad 327: |
Rad 327: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">256^{1/3}>200^{1/3}</td> | | <td class="ntext" width="33%">256^{1/3}>200^{1/3}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">0{,}4^{-3}>0{,}5^{-3}</td> | | <td class="ntext" width="33%">0{,}4^{-3}>0{,}5^{-3}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">0{,}2^{5}>0{,}2^{7}</td> | | <td class="ntext" width="33%">0{,}2^{5}>0{,}2^{7}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">\bigl(5^{1/3}\bigr)^{4}>400^{1/3}</td> | | <td class="ntext" width="33%">\bigl(5^{1/3}\bigr)^{4}>400^{1/3}</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">125^{1/2}>625^{1/3}</td> | | <td class="ntext" width="33%">125^{1/2}>625^{1/3}</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">3^{40}>2^{56}</td> | | <td class="ntext" width="33%">3^{40}>2^{56}</td> |
| </tr> | | </tr> |
Rad 349: |
Rad 349: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">3x^2-3x</td> | | <td class="ntext" width="33%">3x^2-3x</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">xy+x^2y-x^3y</td> | | <td class="ntext" width="33%">xy+x^2y-x^3y</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">-4x^2+x^2y^2</td> | | <td class="ntext" width="33%">-4x^2+x^2y^2</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">x^3y-x^2y+x^3y^2</td> | | <td class="ntext" width="33%">x^3y-x^2y+x^3y^2</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">x^2-14x+49</td> | | <td class="ntext" width="33%">x^2-14x+49</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">16y^2+40y+25</td> | | <td class="ntext" width="33%">16y^2+40y+25</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="33%">9x^6-6x^3y^2+y^4</td> | | <td class="ntext" width="33%">9x^6-6x^3y^2+y^4</td> |
- | <td class="ntext">h)</td> | + | <td class="ntext">h) </td> |
| <td class="ntext" width="33%">9x^{10}+30x^8+25x^6</td> | | <td class="ntext" width="33%">9x^{10}+30x^8+25x^6</td> |
| </tr> | | </tr> |
Rad 378: |
Rad 378: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">-5x^2+20</td> | | <td class="ntext" width="50%">-5x^2+20</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">10x-11</td> | | <td class="ntext" width="50%">10x-11</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">54x</td> | | <td class="ntext" width="50%">54x</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">81x^8-16</td> | | <td class="ntext" width="50%">81x^8-16</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">2a^2+2b^2</td> | | <td class="ntext" width="50%">2a^2+2b^2</td> |
| </tr> | | </tr> |
Rad 401: |
Rad 401: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">(x+6)(x-6)</td> | | <td class="ntext" width="33%">(x+6)(x-6)</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">5(x+2)(x-2)</td> | | <td class="ntext" width="33%">5(x+2)(x-2)</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">(x+3)^2</td> | | <td class="ntext" width="33%">(x+3)^2</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">(x-5)^2</td> | | <td class="ntext" width="33%">(x-5)^2</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">-2x(x+3)(x-3)</td> | | <td class="ntext" width="33%">-2x(x+3)(x-3)</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">(4x+1)^2</td> | | <td class="ntext" width="33%">(4x+1)^2</td> |
| </tr> | | </tr> |
Rad 424: |
Rad 424: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">5\, framför \,x^2\,, \,3\, framför \,x</td> | | <td class="ntext" width="100%">5\, framför \,x^2\,, \,3\, framför \,x</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">2\, framför \,x^2\,, \,1\, framför \,x</td> | | <td class="ntext" width="100%">2\, framför \,x^2\,, \,1\, framför \,x</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">\textrm{c) }</td> | + | <td class="ntext">$\textrm{c) }$</td> |
| <td class="ntext" width="100%">6\, framför \,x^2\,, \,2\, framför \,x</td> | | <td class="ntext" width="100%">6\, framför \,x^2\,, \,2\, framför \,x</td> |
| </tr> | | </tr> |
Rad 443: |
Rad 443: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{1}{1-x}</td> | | <td class="ntext" width="50%">\displaystyle \frac{1}{1-x}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">-\displaystyle \frac{1}{y(y+2)}</td> | | <td class="ntext" width="50%">-\displaystyle \frac{1}{y(y+2)}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">3(x-2)(x-1)</td> | | <td class="ntext" width="50%">3(x-2)(x-1)</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{2(y+2)}{y^2+4}</td> | | <td class="ntext" width="50%">\displaystyle \frac{2(y+2)}{y^2+4}</td> |
| </tr> | | </tr> |
Rad 461: |
Rad 461: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">2y</td> | | <td class="ntext" width="50%">2y</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\displaystyle\frac{-x+12}{(x-2)(x+3)}</td> | | <td class="ntext" width="50%">\displaystyle\frac{-x+12}{(x-2)(x+3)}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
- | <td class="ntext" width="50%">\displaystyle\frac{b}{a(a-b)}</td> | + | <td class="ntext" width="50%">$\displaystyle\frac{b}{a(a-b) }$</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
- | <td class="ntext" width="50%">\displaystyle\frac{a(a+b)}{4b}</td> | + | <td class="ntext" width="50%">$\displaystyle\frac{a(a+b) }{4b}$</td> |
| </tr> | | </tr> |
| </table> | | </table> |
Rad 479: |
Rad 479: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{4}{(x+3)(x+5)}</td> | | <td class="ntext" width="33%">\displaystyle \frac{4}{(x+3)(x+5)}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{x^4-x^3+x^2+x-1}{x^2(x-1)}</td> | | <td class="ntext" width="33%">\displaystyle \frac{x^4-x^3+x^2+x-1}{x^2(x-1)}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{ax(a+1-x)}{(a+1)^2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{ax(a+1-x)}{(a+1)^2}</td> |
| </tr> | | </tr> |
Rad 493: |
Rad 493: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{x}{(x+3)(x+1)}</td> | | <td class="ntext" width="33%">\displaystyle \frac{x}{(x+3)(x+1)}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{2(x-3)}{x}</td> | | <td class="ntext" width="33%">\displaystyle \frac{2(x-3)}{x}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{x+2}{2x+3}</td> | | <td class="ntext" width="33%">\displaystyle \frac{x+2}{2x+3}</td> |
| </tr> | | </tr> |
Rad 508: |
Rad 508: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">x=1</td> | | <td class="ntext" width="50%">x=1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=6</td> | | <td class="ntext" width="50%">x=6</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c) </td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">x=-\displaystyle\frac{3}{2}</td> | | <td class="ntext" width="50%">x=-\displaystyle\frac{3}{2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">x=-\displaystyle\frac{13}{3}</td> | | <td class="ntext" width="50%">x=-\displaystyle\frac{13}{3}</td> |
| </tr> | | </tr> |
Rad 527: |
Rad 527: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">x=1</td> | | <td class="ntext" width="50%">x=1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=\displaystyle\frac{5}{3}</td> | | <td class="ntext" width="50%">x=\displaystyle\frac{5}{3}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">x=2</td> | | <td class="ntext" width="50%">x=2</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">x=-2</td> | | <td class="ntext" width="50%">x=-2</td> |
| </tr> | | </tr> |
Rad 546: |
Rad 546: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">x=9</td> | | <td class="ntext" width="100%">x=9</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">x=\displaystyle\frac{7}{5}</td> | | <td class="ntext" width="100%">x=\displaystyle\frac{7}{5}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c) </td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">x=\displaystyle\frac{4}{5}</td> | | <td class="ntext" width="100%">x=\displaystyle\frac{4}{5}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d) </td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="100%">x=\displaystyle\frac{1}{2}</td> | | <td class="ntext" width="100%">x=\displaystyle\frac{1}{2}</td> |
| </tr> | | </tr> |
Rad 569: |
Rad 569: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td>a)</td> | + | <td>a) </td> |
| <td width="100%">-2x+y=3</td> | | <td width="100%">-2x+y=3</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td>b)</td> | + | <td>b) </td> |
| <td width="100%">y=-\displaystyle\frac{3}{4}x+\frac{5}{4}</td> | | <td width="100%">y=-\displaystyle\frac{3}{4}x+\frac{5}{4}</td> |
| </tr> | | </tr> |
Rad 584: |
Rad 584: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">y=-3x+9</td> | | <td class="ntext" width="100%">y=-3x+9</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">y=-3x+1</td> | | <td class="ntext" width="100%">y=-3x+1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">y=3x+5</td> | | <td class="ntext" width="100%">y=3x+5</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="100%">y=-\displaystyle \frac{1}{2}x+5</td> | | <td class="ntext" width="100%">y=-\displaystyle \frac{1}{2}x+5</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="100%">k = \displaystyle\frac{8}{5}</td> | | <td class="ntext" width="100%">k = \displaystyle\frac{8}{5}</td> |
| </tr> | | </tr> |
Rad 611: |
Rad 611: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\bigl(-\frac{5}{3},0\bigr)</td> | | <td class="ntext" width="50%">\bigl(-\frac{5}{3},0\bigr)</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">(0,5)</td> | | <td class="ntext" width="50%">(0,5)</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\bigl(0,-\frac{6}{5}\bigr)</td> | | <td class="ntext" width="50%">\bigl(0,-\frac{6}{5}\bigr)</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">(12,-13)</td> | | <td class="ntext" width="50%">(12,-13)</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">\bigl(-\frac{1}{4},\frac{3}{2}\bigr)</td> | | <td class="ntext" width="50%">\bigl(-\frac{1}{4},\frac{3}{2}\bigr)</td> |
| </tr> | | </tr> |
Rad 634: |
Rad 634: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_7a.gif]] </td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_7a.gif]] </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_7b.gif]] </td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_7b.gif]] </td> |
| </tr><tr> | | </tr><tr> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_7c.gif]] </td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_7c.gif]] </td> |
| </tr> | | </tr> |
Rad 649: |
Rad 649: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_8a.gif]]</td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_8a.gif]]</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_8b.gif]]</td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_8b.gif]]</td> |
| </tr><tr> | | </tr><tr> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">[[Bild:Svar_o2_2_8c.gif]]</td> | | <td class="ntext" width="33%">[[Bild:Svar_o2_2_8c.gif]]</td> |
| </tr> | | </tr> |
Rad 664: |
Rad 664: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">4\, a.e.</td> | | <td class="ntext" width="100%">4\, a.e.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">5\, a.e.</td> | | <td class="ntext" width="100%">5\, a.e.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">6\, a.e.</td> | | <td class="ntext" width="100%">6\, a.e.</td> |
| </tr> | | </tr> |
Rad 684: |
Rad 684: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">(x-1)^2-1</td> | | <td class="ntext" width="25%">(x-1)^2-1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">(x+1)^2-2</td> | | <td class="ntext" width="25%">(x+1)^2-2</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">-(x-1)^2+6</td> | | <td class="ntext" width="25%">-(x-1)^2+6</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">\bigl(x+\frac{5}{2}\bigr)^2-\frac{13}{4}</td> | | <td class="ntext" width="25%">\bigl(x+\frac{5}{2}\bigr)^2-\frac{13}{4}</td> |
| </tr> | | </tr> |
Rad 702: |
Rad 702: |
| | | |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\left\{ \eqalign{ x_1 &= 1 \cr x_2 &= 3\cr }\right.</td> | | <td class="ntext" width="33%">\left\{ \eqalign{ x_1 &= 1 \cr x_2 &= 3\cr }\right.</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\left\{ \eqalign{ y_1 &= -5 \cr y_2 &= 3\cr }\right.</td> | | <td class="ntext" width="33%">\left\{ \eqalign{ y_1 &= -5 \cr y_2 &= 3\cr }\right.</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
- | <td class="ntext" width="33%"> saknar (reella) lösning</td> | + | <td class="ntext" width="33%"> saknar (reella) lösning</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%"> \left\{ \eqalign{ x_1 &= \textstyle\frac{1}{2}\cr x_2 &= \textstyle\frac{13}{2}\cr }\right.</td> | | <td class="ntext" width="33%"> \left\{ \eqalign{ x_1 &= \textstyle\frac{1}{2}\cr x_2 &= \textstyle\frac{13}{2}\cr }\right.</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">\left\{ \eqalign{ x_1 &= -1 \cr x_2 &= \textstyle\frac{3}{5}\cr }\right.</td> | | <td class="ntext" width="33%">\left\{ \eqalign{ x_1 &= -1 \cr x_2 &= \textstyle\frac{3}{5}\cr }\right.</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%"> \left\{ \eqalign{ x_1 &= \textstyle\frac{4}{3}\cr x_2 &= 2\cr }\right.</td> | | <td class="ntext" width="33%"> \left\{ \eqalign{ x_1 &= \textstyle\frac{4}{3}\cr x_2 &= 2\cr }\right.</td> |
| </tr> | | </tr> |
Rad 725: |
Rad 725: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 &= 0 \cr x_2 & = -3\cr }\right.</td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 &= 0 \cr x_2 & = -3\cr }\right.</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 &= 3 \cr x_2 & = -5\cr }\right. </td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 &= 3 \cr x_2 & = -5\cr }\right. </td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = \textstyle\frac{2}{3} \cr x_2 & = -8\cr }\right. </td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = \textstyle\frac{2}{3} \cr x_2 & = -8\cr }\right. </td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = 0\cr x_2 & = 12\cr }\right. </td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = 0\cr x_2 & = 12\cr }\right. </td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = -3 \cr x_2 & = 8\cr }\right. </td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = -3 \cr x_2 & = 8\cr }\right. </td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = 0 \cr x_2 & = 1 \cr x_3 & = 2 }\right. </td> | | <td class="ntext" width="50%">\left\{ \eqalign{ x_1 & = 0 \cr x_2 & = 1 \cr x_3 & = 2 }\right. </td> |
| </tr> | | </tr> |
Rad 750: |
Rad 750: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">ax^2-ax-2a=0\,, där \,a\ne 0\, är en konstant.</td> | | <td class="ntext" width="100%">ax^2-ax-2a=0\,, där \,a\ne 0\, är en konstant.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">ax^2-2ax-2a=0\,, där \,a\ne 0\, är en konstant.</td> | | <td class="ntext" width="100%">ax^2-2ax-2a=0\,, där \,a\ne 0\, är en konstant.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">ax^2-(3+\sqrt{3}\,)ax+3\sqrt{3}\,a=0\,, där \,a\ne 0\, är en konstant.</td> | | <td class="ntext" width="100%">ax^2-(3+\sqrt{3}\,)ax+3\sqrt{3}\,a=0\,, där \,a\ne 0\, är en konstant.</td> |
| </tr> | | </tr> |
Rad 769: |
Rad 769: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">Exempelvis \ x^2+14x+49=0\,.</td> | | <td class="ntext" width="100%">Exempelvis \ x^2+14x+49=0\,.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">3< x<4</td> | | <td class="ntext" width="100%">3< x<4</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">b=-5</td> | | <td class="ntext" width="100%">b=-5</td> |
| </tr> | | </tr> |
Rad 788: |
Rad 788: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">-2</td> | | <td class="ntext" width="33%">-2</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{3}{4}</td> | | <td class="ntext" width="33%">\displaystyle \frac{3}{4}</td> |
| </tr> | | </tr> |
Rad 803: |
Rad 803: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">1</td> | | <td class="ntext" width="33%">1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle -\frac{7}{4}</td> | | <td class="ntext" width="33%">\displaystyle -\frac{7}{4}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">saknar max</td> | | <td class="ntext" width="33%">saknar max</td> |
| </tr> | | </tr> |
Rad 828: |
Rad 828: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">(-1,0)\ och \ (1,0)</td> | | <td class="ntext" width="33%">(-1,0)\ och \ (1,0)</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">(2,0)\ och \ (3,0)</td> | | <td class="ntext" width="33%">(2,0)\ och \ (3,0)</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">(1,0)\ och \ (3,0)</td> | | <td class="ntext" width="33%">(1,0)\ och \ (3,0)</td> |
| </tr> | | </tr> |
Rad 851: |
Rad 851: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">2^{1/2}</td> | | <td class="ntext" width="25%">2^{1/2}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">7^{5/2}</td> | | <td class="ntext" width="25%">7^{5/2}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">3^{4/3}</td> | | <td class="ntext" width="25%">3^{4/3}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">3^{1/4}</td> | | <td class="ntext" width="25%">3^{1/4}</td> |
| </tr> | | </tr> |
Rad 868: |
Rad 868: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">3</td> | | <td class="ntext" width="25%">3</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">3</td> | | <td class="ntext" width="25%">3</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">ej definierad</td> | | <td class="ntext" width="25%">ej definierad</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">5^{11/6}</td> | | <td class="ntext" width="25%">5^{11/6}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="25%">12</td> | | <td class="ntext" width="25%">12</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="25%">2</td> | | <td class="ntext" width="25%">2</td> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="25%">-5</td> | | <td class="ntext" width="25%">-5</td> |
| <td></td> | | <td></td> |
Rad 895: |
Rad 895: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">3</td> | | <td class="ntext" width="50%">3</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{4\sqrt{3}}{3}</td> | | <td class="ntext" width="50%">\displaystyle \frac{4\sqrt{3}}{3}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">2\sqrt{5}</td> | | <td class="ntext" width="50%">2\sqrt{5}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">2-\sqrt{2}</td> | | <td class="ntext" width="50%">2-\sqrt{2}</td> |
| </tr> | | </tr> |
Rad 914: |
Rad 914: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">0{,}4</td> | | <td class="ntext" width="50%">0{,}4</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">0{,}3</td> | | <td class="ntext" width="50%">0{,}3</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">-4\sqrt{2}</td> | | <td class="ntext" width="50%">-4\sqrt{2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">2\sqrt{3}</td> | | <td class="ntext" width="50%">2\sqrt{3}</td> |
| </tr> | | </tr> |
Rad 933: |
Rad 933: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{\sqrt{3}}{3}</td> | | <td class="ntext" width="25%">\displaystyle \frac{\sqrt{3}}{3}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{7^{2/3}}{7}</td> | | <td class="ntext" width="25%">\displaystyle \frac{7^{2/3}}{7}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">3-\sqrt{7}</td> | | <td class="ntext" width="25%">3-\sqrt{7}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{\sqrt{17}+\sqrt{13}}{4}</td> | | <td class="ntext" width="25%">\displaystyle \frac{\sqrt{17}+\sqrt{13}}{4}</td> |
| </tr> | | </tr> |
Rad 950: |
Rad 950: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">6+2\sqrt{2}+3\sqrt{5}+\sqrt{10}</td> | | <td class="ntext" width="50%">6+2\sqrt{2}+3\sqrt{5}+\sqrt{10}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">-\displaystyle \frac{5+4\sqrt{3}}{23}</td> | | <td class="ntext" width="50%">-\displaystyle \frac{5+4\sqrt{3}}{23}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{2}{3}\sqrt{6}+\displaystyle \frac{2}{3}\sqrt{3}-\displaystyle \frac{2}{5}\sqrt{10}-\displaystyle \frac{2}{5}\sqrt{5}</td> | | <td class="ntext" width="50%">\displaystyle \frac{2}{3}\sqrt{6}+\displaystyle \frac{2}{3}\sqrt{3}-\displaystyle \frac{2}{5}\sqrt{10}-\displaystyle \frac{2}{5}\sqrt{5}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{5\sqrt{3}+7\sqrt{2}-\sqrt{6}-12}{23}</td> | | <td class="ntext" width="50%">\displaystyle \frac{5\sqrt{3}+7\sqrt{2}-\sqrt{6}-12}{23}</td> |
| </tr> | | </tr> |
Rad 969: |
Rad 969: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\sqrt{5}-\sqrt{7}</td> | | <td class="ntext" width="33%">\sqrt{5}-\sqrt{7}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">-\sqrt{35}</td> | | <td class="ntext" width="33%">-\sqrt{35}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">\sqrt{17}</td> | | <td class="ntext" width="33%">\sqrt{17}</td> |
| </tr> | | </tr> |
Rad 984: |
Rad 984: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\sqrt[\scriptstyle3]6 > \sqrt[\scriptstyle3]5</td> | | <td class="ntext" width="50%">\sqrt[\scriptstyle3]6 > \sqrt[\scriptstyle3]5</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">7 > \sqrt7</td> | | <td class="ntext" width="50%">7 > \sqrt7</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\sqrt7 > 2{,}5</td> | | <td class="ntext" width="50%">\sqrt7 > 2{,}5</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\sqrt[\scriptstyle3]2\cdot3 > \sqrt2\bigl(\sqrt[\scriptstyle4]3\,\bigr)^3</td> | | <td class="ntext" width="50%">\sqrt[\scriptstyle3]2\cdot3 > \sqrt2\bigl(\sqrt[\scriptstyle4]3\,\bigr)^3</td> |
| </tr> | | </tr> |
Rad 1 069: |
Rad 1 069: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">x=3</td> | | <td class="ntext" width="50%">x=3</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=-1</td> | | <td class="ntext" width="50%">x=-1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">x=-2</td> | | <td class="ntext" width="50%">x=-2</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">x=4</td> | | <td class="ntext" width="50%">x=4</td> |
| </tr> | | </tr> |
Rad 1 088: |
Rad 1 088: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">-1</td> | | <td class="ntext" width="25%">-1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">4</td> | | <td class="ntext" width="25%">4</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">-3</td> | | <td class="ntext" width="25%">-3</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">0</td> | | <td class="ntext" width="25%">0</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="25%">2</td> | | <td class="ntext" width="25%">2</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="25%">3</td> | | <td class="ntext" width="25%">3</td> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="25%">10</td> | | <td class="ntext" width="25%">10</td> |
- | <td class="ntext">h)</td> | + | <td class="ntext">h) </td> |
| <td class="ntext" width="25%">-2</td> | | <td class="ntext" width="25%">-2</td> |
| </tr> | | </tr> |
Rad 1 115: |
Rad 1 115: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">3</td> | | <td class="ntext" width="33%">3</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">-\displaystyle \frac{1}{2}</td> | | <td class="ntext" width="33%">-\displaystyle \frac{1}{2}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">-3</td> | | <td class="ntext" width="33%">-3</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{7}{3}</td> | | <td class="ntext" width="33%">\displaystyle \frac{7}{3}</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">4</td> | | <td class="ntext" width="33%">4</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">-2</td> | | <td class="ntext" width="33%">-2</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="33%">1</td> | | <td class="ntext" width="33%">1</td> |
- | <td class="ntext">h)</td> | + | <td class="ntext">h) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{5}{2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{5}{2}</td> |
| </tr> | | </tr> |
Rad 1 144: |
Rad 1 144: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">1</td> | | <td class="ntext" width="33%">1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">-\displaystyle \frac{1}{2}\lg{3}</td> | | <td class="ntext" width="33%">-\displaystyle \frac{1}{2}\lg{3}</td> |
| </tr> | | </tr> |
Rad 1 159: |
Rad 1 159: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">5</td> | | <td class="ntext" width="33%">5</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">-2</td> | | <td class="ntext" width="33%">-2</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">e^2</td> | | <td class="ntext" width="33%">e^2</td> |
| </tr> | | </tr> |
Rad 1 183: |
Rad 1 183: |
| <tr align="left"><td height="5px"/></tr> | | <tr align="left"><td height="5px"/></tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">1{,}262</td> | | <td class="ntext" width="100%">1{,}262</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">1{,}663</td> | | <td class="ntext" width="100%">1{,}663</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">4{,}762</td> | | <td class="ntext" width="100%">4{,}762</td> |
| </tr> | | </tr> |
Rad 1 202: |
Rad 1 202: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">x=\ln 13</td> | | <td class="ntext" width="33%">x=\ln 13</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">x=\displaystyle\frac{\ln 2 - \ln 13}{1+\ln 3}</td> | | <td class="ntext" width="33%">x=\displaystyle\frac{\ln 2 - \ln 13}{1+\ln 3}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">x=\displaystyle\frac{\ln 7 - \ln 3}{1-\ln 2}</td> | | <td class="ntext" width="33%">x=\displaystyle\frac{\ln 7 - \ln 3}{1-\ln 2}</td> |
| | | |
Rad 1 217: |
Rad 1 217: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%"> \left\{ \eqalign{ x_1&=\sqrt2 \cr x_2&=-\sqrt2 } \right. </td> | | <td class="ntext" width="33%"> \left\{ \eqalign{ x_1&=\sqrt2 \cr x_2&=-\sqrt2 } \right. </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">x=\ln \left(\displaystyle\frac{\sqrt17}{2}-\frac{1}{2}\right)</td> | | <td class="ntext" width="33%">x=\ln \left(\displaystyle\frac{\sqrt17}{2}-\frac{1}{2}\right)</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">Saknar lösning</td> | | <td class="ntext" width="33%">Saknar lösning</td> |
| </tr> | | </tr> |
Rad 1 232: |
Rad 1 232: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">x=-\,\displaystyle\frac{1}{\ln{2}}\pm\sqrt{\left(\displaystyle\frac{1}{\ln{2}}\right)^2-1}</td> | | <td class="ntext" width="50%">x=-\,\displaystyle\frac{1}{\ln{2}}\pm\sqrt{\left(\displaystyle\frac{1}{\ln{2}}\right)^2-1}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=\displaystyle \frac{5}{2}</td> | | <td class="ntext" width="50%">x=\displaystyle \frac{5}{2}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">x=1</td> | | <td class="ntext" width="50%">x=1</td> |
| </tr> | | </tr> |
Rad 1 248: |
Rad 1 248: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">90^\circ\ och \ \displaystyle \frac{\pi}{2} \textrm{ rad} </td> | | <td class="ntext" width="50%">90^\circ\ och \ \displaystyle \frac{\pi}{2} \textrm{ rad} </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">135^\circ\ och \ \displaystyle \frac{3\pi}{4} \textrm{ rad}</td> | | <td class="ntext" width="50%">135^\circ\ och \ \displaystyle \frac{3\pi}{4} \textrm{ rad}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">-240^\circ\ och \ \displaystyle -\frac{4\pi}{3} \textrm{ rad}</td> | | <td class="ntext" width="50%">-240^\circ\ och \ \displaystyle -\frac{4\pi}{3} \textrm{ rad}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">2910^\circ\ och \ \displaystyle \frac{97\pi}{6} \textrm{ rad}</td> | | <td class="ntext" width="50%">2910^\circ\ och \ \displaystyle \frac{97\pi}{6} \textrm{ rad}</td> |
| </tr> | | </tr> |
Rad 1 267: |
Rad 1 267: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{\pi}{4}\textrm{ rad}</td> | | <td class="ntext" width="25%">\displaystyle \frac{\pi}{4}\textrm{ rad}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{3\pi}{4}\textrm{ rad}</td> | | <td class="ntext" width="25%">\displaystyle \frac{3\pi}{4}\textrm{ rad}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">-\displaystyle \frac{7\pi}{20}\textrm{ rad}</td> | | <td class="ntext" width="25%">-\displaystyle \frac{7\pi}{20}\textrm{ rad}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{3\pi}{2}\textrm{ rad}</td> | | <td class="ntext" width="25%">\displaystyle \frac{3\pi}{2}\textrm{ rad}</td> |
| </tr> | | </tr> |
Rad 1 284: |
Rad 1 284: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">x=50</td> | | <td class="ntext" width="33%">x=50</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">x=5</td> | | <td class="ntext" width="33%">x=5</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">x=15</td> | | <td class="ntext" width="33%">x=15</td> |
| </tr> | | </tr> |
Rad 1 299: |
Rad 1 299: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">5 \textrm{ l.e.}</td> | | <td class="ntext" width="100%">5 \textrm{ l.e.}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">\sqrt{61} \textrm{ l.e.}</td> | | <td class="ntext" width="100%">\sqrt{61} \textrm{ l.e.}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="100%">(2,0)</td> | | <td class="ntext" width="100%">(2,0)</td> |
| </tr> | | </tr> |
Rad 1 318: |
Rad 1 318: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">(x-1)^2+(y-2)^2=4</td> | | <td class="ntext" width="100%">(x-1)^2+(y-2)^2=4</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">(x-2)^2+(y+1)^2=13</td> | | <td class="ntext" width="100%">(x-2)^2+(y+1)^2=13</td> |
| </tr> | | </tr> |
Rad 1 333: |
Rad 1 333: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">En cirkel med radie 3 och medelpunkt i origo.</td> | | <td class="ntext" width="50%">En cirkel med radie 3 och medelpunkt i origo.</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">En cirkel med radie \sqrt 3 och medelpunkt i punkten (1, 2).</td> | | <td class="ntext" width="50%">En cirkel med radie \sqrt 3 och medelpunkt i punkten (1, 2).</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">En cirkel med radie \frac{1}{3}\sqrt 10 och medelpunkt i punkten (1/3, -7/3).</td> | | <td class="ntext" width="50%">En cirkel med radie \frac{1}{3}\sqrt 10 och medelpunkt i punkten (1/3, -7/3).</td> |
| </tr> | | </tr> |
Rad 1 350: |
Rad 1 350: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">En cirkel med medelpunkt (-1, 1) och radie \sqrt 3.</td> | | <td class="ntext" width="50%">En cirkel med medelpunkt (-1, 1) och radie \sqrt 3.</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">En cirkel med medelpunkt (0, -2) och radie 2. </td> | | <td class="ntext" width="50%">En cirkel med medelpunkt (0, -2) och radie 2. </td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">En cirkel med medelpunkt (1, -3) och radie \sqrt 7.</td> | | <td class="ntext" width="50%">En cirkel med medelpunkt (1, -3) och radie \sqrt 7.</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">Endast punkten (1, -1). </td> | | <td class="ntext" width="50%">Endast punkten (1, -1). </td> |
| </tr> | | </tr> |
Rad 1 407: |
Rad 1 407: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> x=13\cdot\tan {27 ^\circ} \approx 6{,}62</td> | | <td class="ntext" width="50%"> x=13\cdot\tan {27 ^\circ} \approx 6{,}62</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=25\cdot\cos {32 ^\circ} \approx 21{,}2</td> | | <td class="ntext" width="50%">x=25\cdot\cos {32 ^\circ} \approx 21{,}2</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">x=\displaystyle\frac{14}{\tan {40 ^\circ}} \approx 16{,}7</td> | | <td class="ntext" width="50%">x=\displaystyle\frac{14}{\tan {40 ^\circ}} \approx 16{,}7</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">x=\displaystyle\frac{16}{\cos {20 ^\circ}} \approx 17{,}0</td> | | <td class="ntext" width="50%">x=\displaystyle\frac{16}{\cos {20 ^\circ}} \approx 17{,}0</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">x=\displaystyle\frac{11}{\sin {35 ^\circ}} \approx 19{,}2</td> | | <td class="ntext" width="50%">x=\displaystyle\frac{11}{\sin {35 ^\circ}} \approx 19{,}2</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">x=\displaystyle\frac{19}{\tan {50 ^\circ}} \approx 15{,}9</td> | | <td class="ntext" width="50%">x=\displaystyle\frac{19}{\tan {50 ^\circ}} \approx 15{,}9</td> |
| </tr> | | </tr> |
Rad 1 432: |
Rad 1 432: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> \tan v=\displaystyle\frac{2}{5}</td> | | <td class="ntext" width="50%"> \tan v=\displaystyle\frac{2}{5}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\sin v=\displaystyle\frac{7}{11}</td> | | <td class="ntext" width="50%">\sin v=\displaystyle\frac{7}{11}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\cos v=\displaystyle\frac{5}{7}</td> | | <td class="ntext" width="50%">\cos v=\displaystyle\frac{5}{7}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\sin v=\displaystyle\frac{3}{5}</td> | | <td class="ntext" width="50%">\sin v=\displaystyle\frac{3}{5}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">v=30 ^\circ</td> | | <td class="ntext" width="50%">v=30 ^\circ</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">\sin \displaystyle\frac{v}{2}=\displaystyle\frac{1}{3}</td> | | <td class="ntext" width="50%">\sin \displaystyle\frac{v}{2}=\displaystyle\frac{1}{3}</td> |
| </tr> | | </tr> |
Rad 1 457: |
Rad 1 457: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">-1</td> | | <td class="ntext" width="33%">-1</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">1</td> | | <td class="ntext" width="33%">1</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{\sqrt{2}}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{\sqrt{2}}</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{\sqrt{3}}{2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{\sqrt{3}}{2}</td> |
| </tr> | | </tr> |
Rad 1 480: |
Rad 1 480: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{\sqrt{3}}{2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{\sqrt{3}}{2}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{2}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{2}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">-1</td> | | <td class="ntext" width="33%">-1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">0</td> | | <td class="ntext" width="33%">0</td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">\displaystyle \frac{1}{\sqrt{3}}</td> | | <td class="ntext" width="33%">\displaystyle \frac{1}{\sqrt{3}}</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%">\sqrt{3}</td> | | <td class="ntext" width="33%">\sqrt{3}</td> |
| </tr> | | </tr> |
Rad 1 503: |
Rad 1 503: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="25%">-\displaystyle \frac{1}{\sqrt{2}}</td> | | <td class="ntext" width="25%">-\displaystyle \frac{1}{\sqrt{2}}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="25%">1</td> | | <td class="ntext" width="25%">1</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="25%">\displaystyle \frac{\sqrt{3}}{2}</td> | | <td class="ntext" width="25%">\displaystyle \frac{\sqrt{3}}{2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="25%">-1</td> | | <td class="ntext" width="25%">-1</td> |
| </tr> | | </tr> |
Rad 1 561: |
Rad 1 561: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">v = \displaystyle \frac{9\pi}{5}</td> | | <td class="ntext" width="33%">v = \displaystyle \frac{9\pi}{5}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">v = \displaystyle \frac{6\pi}{7}</td> | | <td class="ntext" width="33%">v = \displaystyle \frac{6\pi}{7}</td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">v = \displaystyle \frac{9\pi}{7}</td> | | <td class="ntext" width="33%">v = \displaystyle \frac{9\pi}{7}</td> |
| </tr> | | </tr> |
Rad 1 575: |
Rad 1 575: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">v=\displaystyle \frac{\pi}{2}</td> | | <td class="ntext" width="50%">v=\displaystyle \frac{\pi}{2}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">v=\displaystyle \frac{3\pi}{5}</td> | | <td class="ntext" width="50%">v=\displaystyle \frac{3\pi}{5}</td> |
| </tr> | | </tr> |
Rad 1 588: |
Rad 1 588: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">-a</td> | | <td class="ntext" width="50%">-a</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">a</td> | | <td class="ntext" width="50%">a</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\sqrt{1-a^2}</td> | | <td class="ntext" width="50%">\sqrt{1-a^2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\sqrt{1-a^2}</td> | | <td class="ntext" width="50%">\sqrt{1-a^2}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">-a</td> | | <td class="ntext" width="50%">-a</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">\displaystyle \frac{\sqrt{3}}{2}\sqrt{1-a^2}+\displaystyle \frac{1}{2}\cdot a </td> | | <td class="ntext" width="50%">\displaystyle \frac{\sqrt{3}}{2}\sqrt{1-a^2}+\displaystyle \frac{1}{2}\cdot a </td> |
| </tr> | | </tr> |
Rad 1 613: |
Rad 1 613: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">1-b^2</td> | | <td class="ntext" width="50%">1-b^2</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\sqrt{1-b^2}</td> | | <td class="ntext" width="50%">\sqrt{1-b^2}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">2b\sqrt{1-b^2}</td> | | <td class="ntext" width="50%">2b\sqrt{1-b^2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">2b^2-1</td> | | <td class="ntext" width="50%">2b^2-1</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">\sqrt{1-b^2}\cdot\displaystyle \frac{1}{\sqrt{2}} + b\cdot \displaystyle \frac{1}{\sqrt{2}} </td> | | <td class="ntext" width="50%">\sqrt{1-b^2}\cdot\displaystyle \frac{1}{\sqrt{2}} + b\cdot \displaystyle \frac{1}{\sqrt{2}} </td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">b\cdot\displaystyle \frac{1}{2}+\sqrt{1-b^2}\cdot\displaystyle \frac{\sqrt{3}}{2}</td> | | <td class="ntext" width="50%">b\cdot\displaystyle \frac{1}{2}+\sqrt{1-b^2}\cdot\displaystyle \frac{\sqrt{3}}{2}</td> |
| </tr> | | </tr> |
Rad 1 648: |
Rad 1 648: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">\sin{v}=-\displaystyle \frac{\sqrt{7}}{4}\quad och \quad\tan{v}=-\displaystyle \frac{\sqrt{7}}{3}\,.</td> | | <td class="ntext" width="100%">\sin{v}=-\displaystyle \frac{\sqrt{7}}{4}\quad och \quad\tan{v}=-\displaystyle \frac{\sqrt{7}}{3}\,.</td> |
| </tr> | | </tr> |
| | | |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">\cos{v}=-\displaystyle \frac{\sqrt{91}}{10}\quad och \quad\tan{v}=-\displaystyle \frac{3}{\sqrt{91}}\,.</td> | | <td class="ntext" width="100%">\cos{v}=-\displaystyle \frac{\sqrt{91}}{10}\quad och \quad\tan{v}=-\displaystyle \frac{3}{\sqrt{91}}\,.</td> |
| </tr> | | </tr> |
| | | |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\sin{v}=-\displaystyle \frac{3}{\sqrt{10}}\quad och \quad\cos{v}=-\displaystyle \frac{1}{\sqrt{10}}\,.</td> | | <td class="ntext" width="50%">\sin{v}=-\displaystyle \frac{3}{\sqrt{10}}\quad och \quad\cos{v}=-\displaystyle \frac{1}{\sqrt{10}}\,.</td> |
| </tr> | | </tr> |
Rad 1 669: |
Rad 1 669: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="100%">\sin{(x+y)}=\displaystyle \frac{4\sqrt{2}+\sqrt{5}}{9}</td> | | <td class="ntext" width="100%">\sin{(x+y)}=\displaystyle \frac{4\sqrt{2}+\sqrt{5}}{9}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="100%">\sin{(x+y)}=\displaystyle \frac{3\sqrt{21}+8}{25}</td> | | <td class="ntext" width="100%">\sin{(x+y)}=\displaystyle \frac{3\sqrt{21}+8}{25}</td> |
| </tr> | | </tr> |
Rad 1 706: |
Rad 1 706: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{6}\,, \,\displaystyle v=\frac{5\pi}{6}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{6}\,, \,\displaystyle v=\frac{5\pi}{6}</td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{3}\,, \,\displaystyle v=\frac{5\pi}{3}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{3}\,, \,\displaystyle v=\frac{5\pi}{3}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{2}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{2}</td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{4}\,, \,\displaystyle v=\frac{5\pi}{4}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{\pi}{4}\,, \,\displaystyle v=\frac{5\pi}{4}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="50%">lösning saknas</td> | | <td class="ntext" width="50%">lösning saknas</td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{11\pi}{6}\,, \,\displaystyle v=\frac{7\pi}{6}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{11\pi}{6}\,, \,\displaystyle v=\frac{7\pi}{6}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">g)</td> | + | <td class="ntext">g) </td> |
| <td class="ntext" width="50%">\displaystyle v=\frac{5\pi}{6}\,, \,\displaystyle v=\frac{11\pi}{6}</td> | | <td class="ntext" width="50%">\displaystyle v=\frac{5\pi}{6}\,, \,\displaystyle v=\frac{11\pi}{6}</td> |
| </tr> | | </tr> |
Rad 1 735: |
Rad 1 735: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 741: |
Rad 1 741: |
| x&=\displaystyle\frac{2\pi}{3}+2n\pi } \right.$ | | x&=\displaystyle\frac{2\pi}{3}+2n\pi } \right.$ |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 747: |
Rad 1 747: |
| x&=\displaystyle\frac{5\pi}{3}+2n\pi } \right.$ | | x&=\displaystyle\frac{5\pi}{3}+2n\pi } \right.$ |
| </td> | | </td> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| x=n\pi</td> | | x=n\pi</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 758: |
Rad 1 758: |
| x&=\displaystyle\frac{3\pi}{20}+\displaystyle\frac{2n\pi}{5} } \right.$ | | x&=\displaystyle\frac{3\pi}{20}+\displaystyle\frac{2n\pi}{5} } \right.$ |
| </td> | | </td> |
- | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 764: |
Rad 1 764: |
| x&=\displaystyle\frac{\pi}{6}+\displaystyle\frac{2n\pi}{5}} \right.$ | | x&=\displaystyle\frac{\pi}{6}+\displaystyle\frac{2n\pi}{5}} \right.$ |
| </td> | | </td> |
- | <td class="ntext">f)</td> | + | <td class="ntext">f) </td> |
| <td class="ntext" width="33%"> | | <td class="ntext" width="33%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 779: |
Rad 1 779: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 786: |
Rad 1 786: |
| }\right.$ | | }\right.$ |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 795: |
Rad 1 795: |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 802: |
Rad 1 802: |
| }\right.$ | | }\right.$ |
| </td> | | </td> |
- | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 829: |
Rad 1 829: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 836: |
Rad 1 836: |
| }\right.$ | | }\right.$ |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=\displaystyle \frac{n\pi}{3}</td> | | <td class="ntext" width="50%">x=\displaystyle \frac{n\pi}{3}</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 856: |
Rad 1 856: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| x=n\pi | | x=n\pi |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 869: |
Rad 1 869: |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 885: |
Rad 1 885: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{ \matrix{ | | $\left\{ \matrix{ |
Rad 1 893: |
Rad 1 893: |
| }\right.$ | | }\right.$ |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=\pm \displaystyle \frac{\pi}{3} + 2n\pi </td> | | <td class="ntext" width="50%">x=\pm \displaystyle \frac{\pi}{3} + 2n\pi </td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{ \matrix{ | | $\left\{ \matrix{ |
Rad 1 905: |
Rad 1 905: |
| </td> | | </td> |
| </tr> | | </tr> |
- | <tr><td height="5px"/></tr> | + | |
| </table> | | </table> |
| </div> | | </div> |
Rad 1 913: |
Rad 1 913: |
| <table width="100%"> | | <table width="100%"> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 921: |
Rad 1 921: |
| }\right.$ | | }\right.$ |
| </td> | | </td> |
- | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">x=\displaystyle \frac{\pi}{3}+n\pi</td> | | <td class="ntext" width="50%">x=\displaystyle \frac{\pi}{3}+n\pi</td> |
| </tr> | | </tr> |
| <tr align="left"> | | <tr align="left"> |
- | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="50%"> | | <td class="ntext" width="50%"> |
| $\left\{\eqalign{ | | $\left\{\eqalign{ |
Rad 1 933: |
Rad 1 933: |
| </td> | | </td> |
| </tr> | | </tr> |
- | <tr><td height="5px"/></tr> | + | |
| </table> | | </table> |
| </div> | | </div> |