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The Function f(x)=kx2+4yf ( x ) = k x ^ { 2 } + 4 y

Question 75

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The function f(x)=kx2+4yf ( x ) = k x ^ { 2 } + 4 y has an average value of 16 on the rectangle with vertices at (0, 0),(0, 2), (2, 0)and (2, 2).Find the constant k.

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