Suppose that f(x, y) = x² − xy + y² − x + y with D = = {(x, y) | 0 ≤ y ≤ x ≤ 1}. 1. The critical point of f(x, y) restricted to the boundary of D, not at a corner point, is at (a, b). Then a = and b = 2. Absolute minimum of f(x,y) is and absolute maximum is

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: Determine the global extreme values of the f(x, y) = 10x – 2y if y ≥ x - 3, y ≥ -x - 3, y ≤ 5.

A: To find the global extreme values of the function f(x, y) = 10x - 2y with the given constraints, we…

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Q: . Let f(x, y) = x3³-3x+3xy2. Then f has critical points (0, -1), (0, 1), (-1,0), and (1,0). Use the…

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Q: 5) Find the absolute maximum and minimum values of f(x,y)=x²-4y². on the rectangle D={(x,y) e…

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Q: Suppose that f(æ, y) = x² – xy+ y² – 5æ + 5y with æ² + y² < 5?. 1. Absolute minimum of f(x, y) is 2.…

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Q: Suppose that f(x, y, z) = 2x + 5y + 4z at which a2 + y? + z2 < 12. 1. Absolute minimum of f(x, y, z)…

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Q: Suppose that f(x, y, z) = 5x + 5y + 2z at which a² + y² +2² < 4². 1. Absolute minimum of f(x, y, z)…

A: The given surface is:fx, y, z=5x+5y+2z        at which x2+y2+z2≤4

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Q: Find the absolute maximum and absolute minimum values of ƒ(x, y) = (x−3)² + y² on the set D: {(x,y):…

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Q: Suppose that f(x, y) = x² - xy + y² - 4x + 4y with x² + y² ≤ 16. 1. Absolute minimum of f(x, y) is…

A: According to the given data, find the Absolute minimum and maximum of f(x,y):

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Q: y)=x²−xy+y2—3x+3y with D= {(x,y)|0 ≤ y ≤ e critical point of f(x,y) restricted to the boundary of D,…

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Q: Suppose that f(x, y) = x + 2y at which −1 ≤ x ≤ 1, −1≤ y ≤ 1. Absolute minimum of f(x, y) is…

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Q: Suppose that f(*, 3) = x? – xy +y? – 5x + 5y with D = {(*, y) | 0 <y <* < 5}. 1. The critical point…

A: Given that a function f(x,y) and we find critical points and absolute maximum and minimum. Here i…