Area Find the area of the largest rectangle that can be inscribed under the curve in the first and second quadrants.
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A rectangle is to be inscribed in a semicircle of a radius 5 cm.
(a) Show that the area of the rectangle is modeled by the function
(b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that achieves its maximum at ](c) Find the dimensions of the inscribed rectangle with the largest possible area.
Find the area of the largest rectangle that can be inscribed in a semicircle of radius .