Area and Perimeter A semicircle is on top of a rectangle (see figure). When the area is
Chapter 13, Problem 46(choose chapter or problem)
A semicircle is on top of a rectangle (see figure). When the area is fixed and the perimeter is a minimum, or when the perimeter is fixed and the area is a maximum, use Lagrange multipliers to verify that the length of the rectangle is twice its height.
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