Processing Math: Done
3.3 Übungen
Aus Online Mathematik Brückenkurs 2
(Unterschied zwischen Versionen)
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- | === | + | ===Übung 3.3:1=== |
<div class="ovning"> | <div class="ovning"> | ||
Write the following number in the form <math>\,a+ib\,</math>, where <math>\,a\,</math> and <math>\,b\,</math> are real numbers: | Write the following number in the form <math>\,a+ib\,</math>, where <math>\,a\,</math> and <math>\,b\,</math> are real numbers: | ||
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</div>{{#NAVCONTENT:Answer|Answer 3.3:1|Solution a|Solution 3.3:1a|Solution b|Solution 3.3:1b|Solution c|Solution 3.3:1c|Solution d|Solution 3.3:1d|Solution e|Solution 3.3:1e}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:1|Solution a|Solution 3.3:1a|Solution b|Solution 3.3:1b|Solution c|Solution 3.3:1c|Solution d|Solution 3.3:1d|Solution e|Solution 3.3:1e}} | ||
- | === | + | ===Übung 3.3:2=== |
<div class="ovning"> | <div class="ovning"> | ||
Solve the equations | Solve the equations | ||
Zeile 44: | Zeile 44: | ||
</div>{{#NAVCONTENT:Answer|Answer 3.3:2|Solution a|Solution 3.3:2a|Solution b|Solution 3.3:2b|Solution c|Solution 3.3:2c|Solution d|Solution 3.3:2d|Solution e|Solution 3.3:2e}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:2|Solution a|Solution 3.3:2a|Solution b|Solution 3.3:2b|Solution c|Solution 3.3:2c|Solution d|Solution 3.3:2d|Solution e|Solution 3.3:2e}} | ||
- | === | + | ===Übung 3.3:3=== |
<div class="ovning"> | <div class="ovning"> | ||
Complete the square of the following expressions | Complete the square of the following expressions | ||
Zeile 60: | Zeile 60: | ||
</div>{{#NAVCONTENT:Answer|Answer 3.3:3|Solution a|Solution 3.3:3a|Solution b|Solution 3.3:3b|Solution c|Solution 3.3:3c|Solution d|Solution 3.3:3d}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:3|Solution a|Solution 3.3:3a|Solution b|Solution 3.3:3b|Solution c|Solution 3.3:3c|Solution d|Solution 3.3:3d}} | ||
- | === | + | ===Übung 3.3:4=== |
<div class="ovning"> | <div class="ovning"> | ||
Solve the equations | Solve the equations | ||
Zeile 76: | Zeile 76: | ||
</div>{{#NAVCONTENT:Answer|Answer 3.3:4|Solution a|Solution 3.3:4a|Solution b|Solution 3.3:4b|Solution c|Solution 3.3:4c|Solution d|Solution 3.3:4d}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:4|Solution a|Solution 3.3:4a|Solution b|Solution 3.3:4b|Solution c|Solution 3.3:4c|Solution d|Solution 3.3:4d}} | ||
- | === | + | ===Übung 3.3:5=== |
<div class="ovning"> | <div class="ovning"> | ||
Solve the equations | Solve the equations | ||
Zeile 92: | Zeile 92: | ||
</div>{{#NAVCONTENT:Answer|Answer 3.3:5|Solution a|Solution 3.3:5a|Solution b|Solution 3.3:5b|Solution c|Solution 3.3:5c|Solution d|Solution 3.3:5d}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:5|Solution a|Solution 3.3:5a|Solution b|Solution 3.3:5b|Solution c|Solution 3.3:5c|Solution d|Solution 3.3:5d}} | ||
- | === | + | ===Übung 3.3:6=== |
<div class="ovning"> | <div class="ovning"> | ||
Determine the solution to <math>\,z^2=1+i\,</math> both in polar form and in the form <math>\,a+ib\,</math>, where <math>\,a\,</math> and <math>\,b\,</math> are real numbers. Use the result to calculate <math>\; \tan \frac{\pi}{8}\,</math>. | Determine the solution to <math>\,z^2=1+i\,</math> both in polar form and in the form <math>\,a+ib\,</math>, where <math>\,a\,</math> and <math>\,b\,</math> are real numbers. Use the result to calculate <math>\; \tan \frac{\pi}{8}\,</math>. | ||
</div>{{#NAVCONTENT:Answer|Answer 3.3:6|Solution|Solution 3.3:6}} | </div>{{#NAVCONTENT:Answer|Answer 3.3:6|Solution|Solution 3.3:6}} |
Version vom 13:24, 10. Mär. 2009
Theory | Übungen |
Übung 3.3:1
Write the following number in the form
a) | b) | ![]() ![]() ![]() | |
c) | ![]() | d) | ![]() ![]() ![]() |
e) | ![]() ![]() |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Übung 3.3:2
Solve the equations
a) | b) | | c) | | |
d) | | e) | ![]() ![]() |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Übung 3.3:3
Complete the square of the following expressions
a) | b) | | |
c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Übung 3.3:4
Solve the equations
a) | b) | | |
c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Übung 3.3:5
Solve the equations
a) | b) | | |
c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Übung 3.3:6
Determine the solution to 8