Question: A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that

A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle.

УА у 3D4 — х2 y = P = (x, y) -2 2.

(a) Express the area A of the rectangle as a function of x.

(b) Express the perimeter p of the rectangle as a function of x.

(d) Graph P = P(x). For what value of x is p largest?

3D4 2 y = P = (x, y) -2 2.

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