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Mathematics, 27.03.2020 05:27 liptontea4

Find the extreme values of the function f(x, y) = 1x2 + 2y2 on the circle x2 + y2 = 1. SOLUTION We are asked for extreme values of f subject to the constraint g(x, y) = x2 + y2 = 1. Using Lagrange multipliers, we solve the equations ∇f = λ∇g and g(x, y) = 1, which can be written as fx = λgx fy = λgy g(x, y) = 1

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Find the extreme values of the function f(x, y) = 1x2 + 2y2 on the circle x2 + y2 = 1. SOLUTION We a...

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