College Algebra & Trigonometry, 2018a

4.9. OPTIMIZATION 241
7) A rectangle has one corner in the 1st quadrant on the graph of y =16− x 2 ,
one corner at the origin and the other two corners on the positive x axis and the
positive y axis.
16
12
(0,y)
8
(x, y)
4
(0, 0)
(x, 0)
−5−4−3−2−1 1 2 3 4 5
−4
a) Express the area A of the rectangle as a function of x.
b) For what value of x is the area largest?
c) What is the maximum area?