Solving several questions on complex numbers
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These questions involve trigonometry, complex numbers, polar equations, and parametric equations. See below for the problems I require assistance with, and refer to the attachments to find details regarding those problems.
Show all work in a Word document.
p. 357 #61,
p. 358 #81
p 359, #115
p. 364 #27
p, 365 #41
p. 370 #13
p. 371, #43, #45
p. 390 #77
p. 391, #81
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Solution Summary
The solution gives detailed steps on solving several questions on complex numbers including polar coordinate, rectangular coordinate and complex standard form.
Solution Preview
Please check attachment. I answered all the questions in the attached word file.
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p. 357 #61
-i√2-2-(6-4i√2)-(5-i√2)=(-2-6-5)+(-√2+4√2+√2)i=-13+(4√2)i
p. 358 #81
(6+2i)/(1+2i)=[(6+2i)(1-2i)]/[(6+2i)(1-2i)]=(6-12i+2i+4)/(1-4i2)=(10-10i)/5=2-2i
p 359, #115
Total impedance is (50+15i)+(60+17i)=110+32i
p. 364 #27
10(cos90˚+isin90˚)=10(0+i*1)=10i
p, 365 #41
p. 370 #13 ...
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