# A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola #y=6-x^2#. What are the dimensions of such a rectangle with the greatest possible area? thanks for any help!?

##### 1 Answer

Jun 19, 2018

Height:

Width

#### Explanation:

Start by sketching

Now you differentiate to find the maximum.

Find critical numbers by setting

The derivative is negative at

The height will be

Hopefully this helps!