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EMT411 Test I

1.       Find all solutions, z, to the equation = -8i.

2.       Evaluate the integral   given

(a)    γ={z:|z|=1}

(b)   γ={z:|z|=3}

3.       (a) Show that  is differentiable for all  .

(b)   Find the derivative of .

4.       Find a polar representation for

5.       Determine if the function  is harmonic.

6.      Evaluate

7.      Evaluate