Let z = :-3/2 + iv2 and w = 2+ i. (a) Find the real and imaginary part of . (b) Find the polar representation of . (c) Give the principal value of (1+ iv3)e+7) in polar form.

The Euler representation of a complex number is: 2e(ri)/2 which corresponds to the following polar representation: Select one: O a. 2(cos(1/2)-isin(Tt/2)) O b. cos(T/2)+isin(Tt/2) O c. (cos(T/2)+isin(T/2)) O d. 2(cos(T/2)+isin(Tt/2))

2. Do the following calculations (a) Write –V3 + i in polar form. (b) Find all 3rd roots of 8i. (c) Find ALL solutions of z2i = -1.

What is the product z1z2 in polar form? z1=3cis(π/2) z2=3cis(π/4)