The Temperature at the Point $( x , y , z )$

question 2

Multiple Choice

The temperature at the point $( x , y , z )$ in a substance with conductivity $K = 4$ is $u ( x , y , z ) = 2 x ^ { 2 } + 2 y ^ { 2 }$ .

Find the rate of heat flow inward across the cylindrical $y ^ { 2 } + z ^ { 2 } = 2,0 \leq x \leq 7$ .
Select the correct answer.

• A) 224
• B) \(234 \pi\)
• C) \(244 \pi\)
• D) \(264 \pi\)
• E) \(224 \pi\)

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