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

A rectangle is inscribed in a circle 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.

Ул 2 P = (x, y) -2 2 -21 x? + y? = 4

(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?

2 P = (x, y) -2 2 -21 x? + y? = 4

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