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

Question 21

Multiple Choice

Suppose the temperature in degrees Celsius on the surface of a metal plate is T(x,y) =604x2y2T ( x , y ) = 60 - 4 x ^ { 2 } - y ^ { 2 } , where xx and yy are measured in centimeters. Estimate the average temperature if xx varies between 0 and 2 centimeters and yy varies between 0 and 7 centimeters.


A) 1813\frac { 181 } { 3 } degrees Celsius
B) 1193\frac { 119 } { 3 } degrees Celsius
C) 2453\frac { 245 } { 3 } degrees Celsius
D) 2413\frac { 241 } { 3 } degrees Celsius
E) 1153\frac { 115 } { 3 } degrees Celsius

Correct Answer:

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