Suppose the Temperature at Any Point $( x , y ) \text { in a steel plate is }$

question 87

Multiple Choice

Suppose the temperature at any point $( x , y ) \text { in a steel plate is }$ $T = 500 - 0.6 x ^ { 2 } - 1.5 y ^ { 2 }$ where $x$ and $y$ are measured in meters. At the point $( 8,7 )$ find the rate of change of the temperature with respect to the distance moved along the plate in the direction of the $x$ -axis. Round your answer to one decimal place.

• A) \(- 7.2 ^ { \circ } / \mathrm { m }\)
• B) \(- 9.6 ^ { \circ } / \mathrm { m }\)
• C) \(38.4 ^ { \circ } / \mathrm { m }\)
• D) \(3.4 ^ { \circ } / \mathrm { m }\)
• E) \(- 5.2 ^ { \circ } / \mathrm { m }\)

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