* For z = 4 + 4 i, find z^ 4 in polar form z^4 = (V32 )^4 e^(i T/4) O z^4 = (32 )^2 (cos n +i sin n) z^4 = (32 )^4 (cos n/4 + i sin /4) z^4 = (16 )^4 (cos n/2 +i sin n/2) O * What is the absolute value of 5 3 i 25 V25 O V34 O

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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* For z = 4 + 4 i, find z^ 4 in polar form
z^4 = (V32 )^4 e^(i t/4)
z^4 = (32 )^2 (cos n +i sin t) O
z^4 = (32 )^4 (cos n/4 + i sin nt/4)
z^4 = (16 )^4 (cos n/2 +i sin n/2)
* What is the absolute value of 5 3 i
25
V25
V34
34
* For z = 6 + 6 i, find z^ 2 in exponential form
z^ 2 = (72) e^(i T/2)
z^2 = (36) e^(i T)
z^ 2 = (36) e^(i T/2)
z^ 2 = (V72) e^(i n/2) O
Transcribed Image Text:* For z = 4 + 4 i, find z^ 4 in polar form z^4 = (V32 )^4 e^(i t/4) z^4 = (32 )^2 (cos n +i sin t) O z^4 = (32 )^4 (cos n/4 + i sin nt/4) z^4 = (16 )^4 (cos n/2 +i sin n/2) * What is the absolute value of 5 3 i 25 V25 V34 34 * For z = 6 + 6 i, find z^ 2 in exponential form z^ 2 = (72) e^(i T/2) z^2 = (36) e^(i T) z^ 2 = (36) e^(i T/2) z^ 2 = (V72) e^(i n/2) O
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