2.6 Question 8

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.6

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

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
c) Graph A=A(x); for what value of x is A the largest?
d) Graph p=p(x); for what value of x is p the largest?

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