In Matlab, write a script to evaluate the following integral: [ f() dz z for the...

   

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In Matlab, write a script to evaluate the following integral: [ f() dz z for the curve C parameterized by z = Reid for R = 1 and 0 0 2. (Note that dz = iRei do). Verify the Cauchy integral formula (i.e. fc f(2)dz = 2rif (2)) for a = 0 with (a) f(z) = e* (b) f(z)= sin(z) (c) Now, shift the curve C so that it is still a circle with radius R= 1, but now centered at -4-4i. Does the integral in part (a) change? In Matlab, write a script to evaluate the following integral: [ f() dz z for the curve C parameterized by z = Reid for R = 1 and 0 0 2. (Note that dz = iRei do). Verify the Cauchy integral formula (i.e. fc f(2)dz = 2rif (2)) for a = 0 with (a) f(z) = e* (b) f(z)= sin(z) (c) Now, shift the curve C so that it is still a circle with radius R= 1, but now centered at -4-4i. Does the integral in part (a) change?

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