The Temperature at the Point $( x , y ) \text { on a metal plate is } T = \frac { 9 x } { x ^ { 2 } + y ^ { 2 } } \text {. Find the }$

question 67

Multiple Choice

The temperature at the point $( x , y ) \text { on a metal plate is } T = \frac { 9 x } { x ^ { 2 } + y ^ { 2 } } \text {. Find the }$ direction of greatest increase in heat from the point $( 7,9 )$ . Round all numerical values in your answer to three decimal places.

• A) \(0.101 \hat { \mathbf { i } } - 0.023 \hat { \mathbf { j } }\)
• B) \(0.034 \hat { \mathbf { i } } - 0.017 \hat { \mathbf { j } }\)
• C) \(0.023 \hat { \mathbf { i } } - 0.034 \hat { \mathbf { j } }\)
• D) \(0.038 \hat { \mathbf { i } } - 0.101 \hat { \mathbf { j } }\)
• E) \(0.017 \hat { \mathbf { i } } - 0.067 \hat { \mathbf { j } }\)

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