Mathematics, 20.03.2020 13:05 consueloquintan1
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) = Correct: Your answer is correct. p = g(x, y) = Correct: Your answer is correct. ∇f(x, y) = Correct: Your answer is correct. λ∇g = Correct: Your answer is correct. Then λ = 1 2 y = Correct: Your answer is correct. implies that x = Correct: Your answer is correct. . Therefore, the rectangle with maximum area is a square with side length
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Mathematics, 21.06.2019 17:50
F(x) = x2 − 9, and g(x) = x − 3 f(x) = x2 − 4x + 3, and g(x) = x − 3 f(x) = x2 + 4x − 5, and g(x) = x − 1 f(x) = x2 − 16, and g(x) = x − 4 h(x) = x + 5 arrowright h(x) = x + 3 arrowright h(x) = x + 4 arrowright h(x) = x − 1 arrowright
Answers: 2
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p...
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