7. Find the absolute extrema of $f(x,y) = x^2 + y - xy + 4$ on the triangular region with vertices (0,0), (4,0), (0,4). (20)
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To find the critical points, we need to find the values of x and y where the partial derivatives of f(x, y) with respect to x and y are equal to zero. The partial derivative of f(x, y) with respect to x is: ∂f/∂x = 2x + y^2 Setting this equal to zero, we Show more…
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