Math Help - Absolute Maximum Problem

1. Absolute Maximum Problem

Find the dimensions of the rectangle of greatest area. If one of its bases coincides with the x-axis and whose opposite vertices lie on the curve whose equation is y=8-2x^2

Can someone help me with this problem please? I'm not really sure how the rectangle is positioned on the curve and I really need help as to how to approach this problem. Thanks in advance.

2. Originally Posted by virgo91
Find the dimensions of the rectangle of greatest area. If one of its bases coincides with the x-axis and whose opposite vertices lie on the curve whose equation is y=8-2x^2

Can someone help me with this problem please? I'm not really sure how the rectangle is positioned on the curve and I really need help as to how to approach this problem. Thanks in advance.
did you make a sketch?

$A = 2x(8 - 2x^2)$

find $\frac{dA}{dx}$ and maximize