Let f(z) = e10z %3D Part (a) Find the integral of the function f(z) on the circle of radius 2 centered around 0 in the complex plane. Part (b) Now, find the integral of the same function on an ellipse in the complex plane given by x2 y2 the equation = 1. + 4 16

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Let f(z) = e10z
%3D
Part (a)
Find the integral of the function f(z) on the
circle of radius 2 centered around 0 in the
complex plane.
Part (b)
Now, find the integral of the same function
on an ellipse in the complex plane given by
x2 y2
the equation
= 1.
+
4
16
Transcribed Image Text:Let f(z) = e10z %3D Part (a) Find the integral of the function f(z) on the circle of radius 2 centered around 0 in the complex plane. Part (b) Now, find the integral of the same function on an ellipse in the complex plane given by x2 y2 the equation = 1. + 4 16
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