Mathematics, 10.03.2020 17:34 carcon2019
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 fand g represent the area (A) and perimeter (p), respectively. Find the following.
A f(x, y) -
p = g(x, y)-
Vf(x, y)-
Then y- implies that x .
Therefore, the rectangle with maximum area is a square with side length.
Answers: 1
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Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p...
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