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  3. 1. let r be the rectangle formed by going along li

1. Let R be the rectangle formed by going along line segments from 1 to i...

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Advance Math

1. Let R be the rectangle formed by going along line segmentsfrom 1 to i to -1 to -i and back to 1. If f(z)=1/(z-5i) then theintegral around R of f(z) has value of?

2. Let C be the circle of radius fifty centered at the originwith positive orientation. Then the integral around C of f(z) =1/(z-4) has value of?

3. Let C be the circle of radius fifty centered at the originwith positive orientation

of F(z)=[1/(z-i)] + [1/(z-2)] then the integral around C of F(z)has value of?

4. Let C be the circle of radius six centered at the origin withpositive orientation.

If G(z) = [1/(z-2)] + [1/(z-8)] then the integral around C ofG(z) has value of?

5. The integral of f(z) = 1/[(z-5)(z-8)] around the circle ofradius one centered at z=1 with positive orientation has valuezero? True or false?

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