9768 Problem# 53
Posted: Thu Sep 10, 2009 1:31 pm
Hey, I was wondering if anyone managed to solve problem 53 on the practice test GR9768? The problem is:
In the complex plane, let C be the circle |z|=2 with positive (counterclockwise) orientation. Then the line integral of a scalar-valued function 1/((z-1)*(z+3)^2) over path C is
(A) 0
(B) 2*pi*i
(C) (pi*i)/2
(D) (pi*i)/8
(E) (pi*1)/16
*********************
The answer is supposed to be (D), however after several attempts I continue to get (A).
Could someone possible show the first one or two steps of this problem? Don't worry about writing the whole thing out. Thanks!
In the complex plane, let C be the circle |z|=2 with positive (counterclockwise) orientation. Then the line integral of a scalar-valued function 1/((z-1)*(z+3)^2) over path C is
(A) 0
(B) 2*pi*i
(C) (pi*i)/2
(D) (pi*i)/8
(E) (pi*1)/16
*********************
The answer is supposed to be (D), however after several attempts I continue to get (A).
Could someone possible show the first one or two steps of this problem? Don't worry about writing the whole thing out. Thanks!