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Mathematics, 06.12.2019 05:31 tiana02q
Use lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. let the sides of the rectangle be x and y and let f and g represent the area (a) and perimeter (p), respectively. find the following. a = f(x, y) = p = g(x, y) = f(x, y) = lambda g = then lambda = 1/2y = implies that x = therefore, the rectangle with maximum area is a square with side length.
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