Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message

jsMath

3.1 Übungen

Aus Online Mathematik Brückenkurs 2

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K (Robot: Automated text replacement (-Övningar +Exercises))
K (Robot: Automated text replacement (-Svar +Answer))
Zeile 26: Zeile 26:
|width="50%"| <math>i^{\,20} + i^{\,11}</math>
|width="50%"| <math>i^{\,20} + i^{\,11}</math>
|}
|}
-
</div>{{#NAVCONTENT:Answer|Svar 3.1:1|Solution a|Lösning 3.1:1a|Solution b|Lösning 3.1:1b|Solution c|Lösning 3.1:1c|Solution d|Lösning 3.1:1d|Solution e|Lösning 3.1:1e|Solution f|Lösning 3.1:1f}}
+
</div>{{#NAVCONTENT:Answer|Answer 3.1:1|Solution a|Lösning 3.1:1a|Solution b|Lösning 3.1:1b|Solution c|Lösning 3.1:1c|Solution d|Lösning 3.1:1d|Solution e|Lösning 3.1:1e|Solution f|Lösning 3.1:1f}}
===Exercise 3.1:2===
===Exercise 3.1:2===
Zeile 42: Zeile 42:
|width="50%"| <math>\displaystyle\frac{5-\displaystyle\frac{1}{1+i}}{3i + \displaystyle\frac{i}{2-3i}}</math>
|width="50%"| <math>\displaystyle\frac{5-\displaystyle\frac{1}{1+i}}{3i + \displaystyle\frac{i}{2-3i}}</math>
|}
|}
-
</div>{{#NAVCONTENT:Answer|Svar 3.1:2|Solution a|Lösning 3.1:2a|Solution b|Lösning 3.1:2b|Solution c|Lösning 3.1:2c|Solution d|Lösning 3.1:2d}}
+
</div>{{#NAVCONTENT:Answer|Answer 3.1:2|Solution a|Lösning 3.1:2a|Solution b|Lösning 3.1:2b|Solution c|Lösning 3.1:2c|Solution d|Lösning 3.1:2d}}
===Exercise 3.1:3===
===Exercise 3.1:3===
Zeile 49: Zeile 49:
-
</div>{{#NAVCONTENT:Answer|Svar 3.1:3|Solution|Lösning 3.1:3}}
+
</div>{{#NAVCONTENT:Answer|Answer 3.1:3|Solution|Lösning 3.1:3}}
===Exercise 3.1:4===
===Exercise 3.1:4===
Zeile 70: Zeile 70:
|width="50%"| <math>(1+i)\overline{z}+iz = 3+5i</math>
|width="50%"| <math>(1+i)\overline{z}+iz = 3+5i</math>
|}
|}
-
</div>{{#NAVCONTENT:Answer|Svar 3.1:4|Solution a|Lösning 3.1:4a|Solution b|Lösning 3.1:4b|Solution c|Lösning 3.1:4c|Solution d|Lösning 3.1:4d|Solution e|Lösning 3.1:4e|Solution f|Lösning 3.1:4f}}
+
</div>{{#NAVCONTENT:Answer|Answer 3.1:4|Solution a|Lösning 3.1:4a|Solution b|Lösning 3.1:4b|Solution c|Lösning 3.1:4c|Solution d|Lösning 3.1:4d|Solution e|Lösning 3.1:4e|Solution f|Lösning 3.1:4f}}

Version vom 14:13, 16. Sep. 2008

 
  1. REDIRECT Template:Nicht gewählter Tab
  2. REDIRECT Template:Gewählter Tab
 

Exercise 3.1:1

Write in the form a+bi, where a and b are real numbers

a) (5−2i)+(3+5i) b) 3i−(2−i)
c) i(2+3i) d) (3−2i)(7+5i)
e) (1+i)(2−i)2 f) i20+i11

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Exercise 3.1:2

Write in the form a+bi, where a and b are real numbers,

a) 1+i3−2i b) 3i4−6i−1+i3+2i
c) 1+i3(2−i3)2 d) 5−11+i3i+i2−3i

Answer | Solution a | Solution b | Solution c | Solution d

Exercise 3.1:3

Determine the real number a such that the expression  3+i2+ai  becomes purely imaginary (i.e. the real part equals zero).


Answer | Solution

Exercise 3.1:4

Solve the equations

a) z+3i=2z−2 b) (2−i)z=3+2i
c) iz+2=2z−3 d) (2+i)z=1+i
e) z+iiz+1=3+i f) (1+i)z+iz=3+5i

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/3.1_%C3%9Cbungen“