February 10, 2016

Homework Help: Pre-Calc

Posted by MUFFY on Saturday, October 3, 2009 at 11:19am.

Here I am again stuck with another geometry type question. Here goes:

A rectangle is inscribed between the x-axis and the parabola y=36-x^2
with one side along the x-axis.
He drew the picture with the parabola at points (-6,0) (6,0) (0,6)

the rectanle is drawn inside the parabola along the x axis.
Not sure if you can help me without seeing the picture.

a. Let x denote the x-coordinate of the point shown in the figure. Write the area A of the rectangle as a function of x.

b. What values of x are in the domain of A?

c. Determine the maximum area that the rectangle may have. (hint, use a graphing calculator).

I'm already confused just looking at a.

if you can guide me it would be great!

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