Complex Analysis Answers

Obtain the 6th roots of (−7) , and represent them in an Argand diagram.

Find the angle between the vectors αÌ…=2i+2j−k and\eta=6i−3j+2k.


a.\\(75^0\\) approximately

b.\\(78^0\\) approximately

c.\\(70^0\\) approximately

d.\\(79^0\\) approximately

Using the method of residues, show that:



Integral( 0 to infinity )(dx/1+x^2)=pie/2

Obtain the Laurent series expansion of the function

e^z/(z-2)^2

about the singularity

z =2

Evaluate the integral


Integral [(5z^2-3z+2)]/[(z-1)^3] dz

Close curve C




where C is any simple closed curve enclosing z = 1.

Given that (z_1=r_1(cos∅_1+isin∅_1 and (z_2=r_2(cos∅_2+isin∅_2) evaluate (z_1z_2)

Find the fifth root of -1

Find the polar form of complex number (2+2isqrt(3))

Evaluate the integration of (2z+3)dz from 1-2i to 3+i. a. along the path x=2t+1, y=4t^2-t-2, 0<=t<=1. b.along the strightline joining 1-2i and 3+i