Complex Analysis Answers

((2<45°)^2+(3<120°))/((3<120°)+(4<180°)) leave your answer in rectangular form

Convert ((1−i)/2) into trigonometric form.

If z=8(cos5π3+isin5π3), then z6 is equal to

2. Given z1 = 2∠45o

, ; z2 = 3∠120o and z3 = 4∠180o

. Determine the following and leave your

answers in rectangular form:

(i)

(z1)² +z2

z2 +z3

(5)

(ii)

z1

z2z3

solve the cubic equation 2z³ -5z²+z-5=0

Convert (1−i)/2 into trigonometric form

a solution of 2z3+16i=0

given z₁ = 2<45 degrees, z₂ =3<120 degrees and z₃ =4<180 degrees. determine the following and leave your answer in rectangular form.

1. (z₁)²+z₂/z₂+z₃
2. z_1/z₂z₃

Evaluate the following integrals using residue theorem: (a) ∫∞−∞ x² /(x² +9)(x² +4)²dx