Find the absolute extrema of the function $f(x, y) = 5x^2 - 5xy + 4y^2 + 5x - 5y - 4$ on the domain defined by $2 \le x \le 8$ and $-2 \le y \le 1$. Round answers to 3 decimals or more. Absolute Maximum: Absolute Minimum:
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To find the critical points, we need to find the partial derivatives of f(x, y) with respect to x and y, and set them equal to zero. ∂f/∂x = 10x - 5y + 5 = 0 ∂f/∂y = -5x + 8y - 5 = 0 Solving these two equations simultaneously, we get: 10x - 5y + 5 = 0 -5x + 8y Show more…
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