Question: In Matlab, write a script to evaluate the following integral: integral_c f(z)/z dz for the curve C parameterized by z = Re^i theta for R

In Matlab, write a script to evaluate the following integral: integral_c f(z)/z dz for the curve C parameterized by z = Re^i theta for R = 1 and 0 lessthanorequalto 0 lessthanorequalto 2 pi. (Note that dz = iRe^i theta d theta). Verify the Cauchy integral formula (i.e. integral_c f(z)dz/z-a = 2 pi i f(z)) for a. = 0 with f(z) = e^2 f(z)= sin^2 (z) Now. shift the curve C so that it is still a circle with radius R = 1. but now centered at -4 - 4 i. Does the integral in part (a) change
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