Suppose the Temperature in Degrees Celsius on the Surface of a Metal

Multiple Choice

Suppose the temperature in degrees Celsius on the surface of a metal plate is $T ( x , y ) = 60 - 4 x ^ { 2 } - y ^ { 2 }$ , where $x$ and $y$ are measured in centimeters. Estimate the average temperature if $x$ varies between 0 and 2 centimeters and $y$ varies between 0 and 7 centimeters.

A) $\frac { 181 } { 3 }$ degrees Celsius
B) $\frac { 119 } { 3 }$ degrees Celsius
C) $\frac { 245 } { 3 }$ degrees Celsius
D) $\frac { 241 } { 3 }$ degrees Celsius
E) $\frac { 115 } { 3 }$ degrees Celsius