### Home > APCALC > Chapter 9 > Lesson 9.4.3 > Problem9-132

9-132.

No calculator! Determine the dimensions of the rectangle with its base on the $x$-axis and vertices on $y = 6 − 2x^2$ that has a maximum area.

$\$

$\text{base} = 2x$
$\text{height} = 6 - 2x^2$

Maximize $A = 2x(6 - 2x^2)$.