GRE 0568 Problem 59

Forum for the GRE subject test in mathematics.
EmLasker
Posts: 24
Joined: Sun Oct 05, 2008 1:41 am

GRE 0568 Problem 59

Postby EmLasker » Tue Oct 14, 2008 10:56 pm

This one has me a bit stumped...

Suppose f is an analytic function of z = z + iy given by

f(z) = (2x + 3y) + ig(x,y), where g is a real valued function of x and y. If g(2,3) = 1, then g(7,3) =

A) -14
B) -9
C) 0
D) 11
E) 18

Nameless
Posts: 128
Joined: Sun Aug 31, 2008 4:42 pm

Postby Nameless » Tue Oct 14, 2008 10:59 pm

use the Cauchy- Riemann equation and from the condition :g(2,3) = 1 find g

JcraigMSU
Posts: 13
Joined: Wed Aug 06, 2008 9:25 am

Postby JcraigMSU » Wed Oct 15, 2008 3:54 pm

I got (a)

EmLasker
Posts: 24
Joined: Sun Oct 05, 2008 1:41 am

Postby EmLasker » Wed Oct 15, 2008 11:38 pm

The one thing we skipped in my complex analysis class... Luckily the Cauchy Riemann equations are fairly easy to understand (at least in relation to this problem) and memorize. I also got a for the answer. Thank you for the direction Nameless.

Peter




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