SOLUTION: A rectangle has one vertex in quadrant 1 on the graph of y=16-x^2, another at the origin, one on the positive x-axis, and one on the positive y-axis. Express the area A of the r

Question 954959: A rectangle has one vertex in quadrant 1 on the graph of y=16-x^2, another at the origin, one on the positive x-axis, and one on the positive y-axis.
Express the area A of the rectangle as a function of x.
My answer: A(x)= 16x-x^3
Find the largest area A that can be enclosed by the rectangle?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of the rectangle would be,

So far you are correct.
.
.
.
To find the maximum, take the derivative with respect to x and solve when the derivative equals zero.

So then,

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