Write each complex number in complex polar notation: 26.7 X (4.053 + 2.042 i) = (4.53 (4.482 + 4.681 i) Write each complex exponential function as a sum of its real and imaginary parts: (4.053 + 2.042 i) e(2.155+1.648/)t cos( sin( %3D t+ t+

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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question1

Write each complex number in complex polar notation:
i 26.7.X
(
= 4.53
4.053 + 2.042 i
:)=
4.482 + 4.681 i
e
Write each complex exponential function as a sum of its real and imaginary parts:
4.053 + 2.042 i) e(2.155+1.648/)t =
sin(O
e
cos(
t+
+ i
t+
(4.482 + 4.681
i) e(1.702+4.800i)t.
cos(
) + i
sin(
)
t+
t+
Transcribed Image Text:Write each complex number in complex polar notation: i 26.7.X ( = 4.53 4.053 + 2.042 i :)= 4.482 + 4.681 i e Write each complex exponential function as a sum of its real and imaginary parts: 4.053 + 2.042 i) e(2.155+1.648/)t = sin(O e cos( t+ + i t+ (4.482 + 4.681 i) e(1.702+4.800i)t. cos( ) + i sin( ) t+ t+
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