http://wiki.math.se/wikis/sf0601_0701/index.php?action=history&feed=atom&title=3.1_%C3%96vningar 2026-06-21T11:11:02Z Versionshistorik för denna sida på wikin MediaWiki 1.9.3 http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=1369&oldid=prev 2007-07-19T12:32:17Z

<p><span class="autocomment">Övning 3.1:4</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 19 juli 2007 kl. 12.32</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 301:</strong></td> <td colspan="2" align="left"><strong>Rad 301:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=3+i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=3+i$&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning a&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga a</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4a.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning b&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga b</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4b.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning c&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga c</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4c.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning d&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga d</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4d.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning &amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga </td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4e-1(2).gif]]&lt;br\&gt;[[Bild:3_1_4e-2(2).gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning f&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga f</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_4f-1(2).gif]]&lt;br\&gt;[[Bild:3_1_4f-2(2).gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=1368&oldid=prev 2007-07-19T12:29:52Z

<p><span class="autocomment">Övning 3.1:3</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 19 juli 2007 kl. 12.29</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 241:</strong></td> <td colspan="2" align="left"><strong>Rad 241:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning &amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_3.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=1367&oldid=prev 2007-07-19T12:28:52Z

<p><span class="autocomment">Övning 3.1:2</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 19 juli 2007 kl. 12.28</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 169:</strong></td> <td colspan="2" align="left"><strong>Rad 169:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{7}{130} -\frac{93}{65}\,i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{7}{130} -\frac{93}{65}\,i$&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning a&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga a</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_2a-1(2).gif]]&lt;br\&gt;[[Bild:3_1_2a-2(2).gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning b&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga b</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_2b-1(2).gif]]&lt;br\&gt;[[Bild:3_1_2b-2(2).gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning c&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga c</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_2c.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning d&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga d</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_2d-1(2).gif]]&lt;br\&gt;[[Bild:3_1_2d-2(2).gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=1344&oldid=prev 2007-07-19T12:24:56Z

<p><span class="autocomment">Övning 3.1:1</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 19 juli 2007 kl. 12.24</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 46:</strong></td> <td colspan="2" align="left"><strong>Rad 46:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$1-i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$1-i$&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning a&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga a</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1a.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning b&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga b</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1b.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning c&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga c</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1c.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning d&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga d</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1d.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning e&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga e</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1e.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavFrame style=&quot;CLEAR: both&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavHead&gt;L&amp;ouml;sning f&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Lösning till delfråga f</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td width=&quot;100%&quot; align=&quot;center&quot;&gt;</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">[[Bild:3_1_1f.gif]]</td></tr> <tr><td colspan="2">&nbsp;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=1008&oldid=prev 2007-07-03T16:52:56Z

<p>Korrekturläst</p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 3 juli 2007 kl. 16.52</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 1:</strong></td> <td colspan="2" align="left"><strong>Rad 1:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:1==</td><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:1==</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Skriv i formen $a+bi$, där $a$ och $b$ är reella tal</td><td>+</td><td style="background: #cfc; font-size: smaller;">Skriv i formen $<span style="color: red; font-weight: bold;">\,</span>a+bi<span style="color: red; font-weight: bold;">\,</span>$, där $<span style="color: red; font-weight: bold;">\,</span>a<span style="color: red; font-weight: bold;">\,</span>$ och $<span style="color: red; font-weight: bold;">\,</span>b<span style="color: red; font-weight: bold;">\,</span>$ är reella tal</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 19:</strong></td> <td colspan="2" align="left"><strong>Rad 19:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ (1+i)(2-i)^2$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ (1+i)(2-i)^2$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$i^{20} + i^{11}$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$i^{<span style="color: red; font-weight: bold;">\,</span>20} + i^{<span style="color: red; font-weight: bold;">\,</span>11}$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 27:</strong></td> <td colspan="2" align="left"><strong>Rad 27:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågorna</span>&lt;br \&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågor</span>&lt;br \&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 52:</strong></td> <td colspan="2" align="left"><strong>Rad 52:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:2==</td><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:2==</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;Skriv i formen $a+<span style="color: red; font-weight: bold;">bi</span>$, där $a$ och $b$ är reella tal</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;Skriv i formen $<span style="color: red; font-weight: bold;">\,</span>a+<span style="color: red; font-weight: bold;">ib\,</span>$, där $<span style="color: red; font-weight: bold;">\,</span>a<span style="color: red; font-weight: bold;">\,</span>$ och $<span style="color: red; font-weight: bold;">\,</span>b<span style="color: red; font-weight: bold;">\,</span>$ är reella tal</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 62:</strong></td> <td colspan="2" align="left"><strong>Rad 62:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ \displaystyle\frac{(2-i\sqrt{3})^2}{1+i\sqrt{3}}$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ \displaystyle\frac{(2-i\sqrt{3}<span style="color: red; font-weight: bold;">\,</span>)^2}{1+i\sqrt{3}}$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle\frac{5-\displaystyle\frac{1}{1+i}}{3i + \displaystyle\frac{i}{2-3i}}$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle\frac{5-\displaystyle\frac{1}{1+i}}{3i + \displaystyle\frac{i}{2-3i}}$&lt;/td&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 72:</strong></td> <td colspan="2" align="left"><strong>Rad 72:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågorna</span>&lt;br \&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågor</span>&lt;br \&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{1}{2} - \frac{5}{2}i$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{1}{2} - \frac{5}{2}<span style="color: red; font-weight: bold;">\,</span>i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle -\frac{19}{26} + \frac{2}{13}i$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle -\frac{19}{26} + \frac{2}{13}<span style="color: red; font-weight: bold;">\,</span>i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle -\frac{<span style="color: red; font-weight: bold;">5i\sqrt3</span>}{4} -\frac{<span style="color: red; font-weight: bold;">11</span>}{4}$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle -\frac{<span style="color: red; font-weight: bold;">11</span>}{4}-\frac{<span style="color: red; font-weight: bold;">5\sqrt3</span>}{4}<span style="color: red; font-weight: bold;">\,i</span>$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{7}{130} -\frac{<span style="color: red; font-weight: bold;">93i</span>}{65}$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$\displaystyle \frac{7}{130} -\frac{<span style="color: red; font-weight: bold;">93</span>}{65}<span style="color: red; font-weight: bold;">\,i</span>$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td colspan="2" align="left"><strong>Rad 92:</strong></td> <td colspan="2" align="left"><strong>Rad 92:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:3==</td><td> </td><td style="background: #eee; font-size: smaller;">==Övning 3.1:3==</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=&quot;ovning&quot;&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Bestäm det reella tal $a$ så att uttrycket $\displaystyle\frac{3+i}{2+ai}$ blir rent imaginärt (dvs realdel lika med noll). </td><td>+</td><td style="background: #cfc; font-size: smaller;">Bestäm det reella tal $<span style="color: red; font-weight: bold;">\,</span>a<span style="color: red; font-weight: bold;">\,</span>$ så att uttrycket $<span style="color: red; font-weight: bold;">\ </span>\displaystyle\frac{3+i}{2+ai}<span style="color: red; font-weight: bold;">\ </span>$ blir rent imaginärt (dvs<span style="color: red; font-weight: bold;">. </span>realdel lika med noll). </td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;"></td><td> </td><td style="background: #eee; font-size: smaller;"></td></tr> <tr><td colspan="2" align="left"><strong>Rad 131:</strong></td> <td colspan="2" align="left"><strong>Rad 131:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavHead&gt;Facit&amp;nbsp;&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;div class=NavContent&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågorna</span>&lt;br \&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">Facit till alla <span style="color: red; font-weight: bold;">delfrågor</span>&lt;br \&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;table width=&quot;100%&quot; cellspacing=&quot;10px&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;a)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">3i+</span>2$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=2<span style="color: red; font-weight: bold;">+3i</span>$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;b)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle\frac{4}{5} + \frac{7}{5}i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle\frac{4}{5} + \frac{7}{5}i$&lt;/td&gt;</td></tr> </table>

KTH.SE:u1tyze7e http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=974&oldid=prev 2007-07-02T14:44:10Z

<p>Buggfix för 3.1:4f</p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 2 juli 2007 kl. 14.44</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 149:</strong></td> <td colspan="2" align="left"><strong>Rad 149:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">1</span>+<span style="color: red; font-weight: bold;">2\sqrt{</span>i<span style="color: red; font-weight: bold;">}, \,\,\, \bar z=1-2\sqrt{i}</span>$ <span style="color: red; font-weight: bold;">&lt;br&gt;(eller tv&amp;auml;rtom)</span>&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">3</span>+i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> </table>

KTH.SE:u1tyze7e http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=970&oldid=prev 2007-07-01T17:58:24Z

<p></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 1 juli 2007 kl. 17.58</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 123:</strong></td> <td colspan="2" align="left"><strong>Rad 123:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ \displaystyle\frac{iz+1}{z+i} = 3+i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$ \displaystyle\frac{iz+1}{z+i} = 3+i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$(1+i)\overline{z} iz = 3+5i$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$(1+i)\overline{z}<span style="color: red; font-weight: bold;">+</span>iz = 3+5i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> </table>

KTH.SE:u1tyze7e http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=563&oldid=prev 2007-06-08T10:33:16Z

<p><span class="autocomment">Övning 3.1:4</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 8 juni 2007 kl. 10.33</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 149:</strong></td> <td colspan="2" align="left"><strong>Rad 149:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=1+2\sqrt{i}, \,\,\, \bar z=1-2\sqrt{i}$ (eller tv&amp;auml;rtom)&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=1+2\sqrt{i}, \,\,\, \bar z=1-2\sqrt{i}$ <span style="color: red; font-weight: bold;">&lt;br&gt;</span>(eller tv&amp;auml;rtom)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=562&oldid=prev 2007-06-08T10:32:59Z

<p><span class="autocomment">Övning 3.1:4</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 8 juni 2007 kl. 10.32</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 149:</strong></td> <td colspan="2" align="left"><strong>Rad 149:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{2}{3}-i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;f)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">3</span>+i$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">1</span>+<span style="color: red; font-weight: bold;">2\sqrt{</span>i<span style="color: red; font-weight: bold;">}, \,\,\, \bar z=1-2\sqrt{i}</span>$ <span style="color: red; font-weight: bold;">(eller tv&amp;auml;rtom)</span>&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/tr&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/table&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;/div&gt;</td></tr> </table>

KTH.SE:u1zpa8nw http://wiki.math.se/wikis/sf0601_0701/index.php?title=3.1_%C3%96vningar&diff=561&oldid=prev 2007-06-08T09:51:59Z

<p><span class="autocomment">Övning 3.1:4</span></p> <table border='0' width='98%' cellpadding='0' cellspacing='4' style="background-color: white;"> <tr> <td colspan='2' width='50%' align='center' style="background-color: white;">← Äldre version</td> <td colspan='2' width='50%' align='center' style="background-color: white;">Versionen från 8 juni 2007 kl. 09.51</td> </tr> <tr><td colspan="2" align="left"><strong>Rad 141:</strong></td> <td colspan="2" align="left"><strong>Rad 141:</strong></td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;tr align=&quot;left&quot;&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;c)&lt;/td&gt;</td></tr> <tr><td>-</td><td style="background: #ffa; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=<span style="color: red; font-weight: bold;">\displaystyle \frac{4}{5} + \frac{</span>2<span style="color: red; font-weight: bold;">}{5}</span>i$&lt;/td&gt;</td><td>+</td><td style="background: #cfc; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=2<span style="color: red; font-weight: bold;">+</span>i$&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot;&gt;d)&lt;/td&gt;</td></tr> <tr><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{3}{5} - \frac{1}{5}i$&lt;/td&gt;</td><td> </td><td style="background: #eee; font-size: smaller;">&lt;td class=&quot;ntext&quot; width=&quot;50%&quot;&gt;$z=\displaystyle \frac{3}{5} - \frac{1}{5}i$&lt;/td&gt;</td></tr> </table>

KTH.SE:u1zpa8nw