CPM Homework Help : CALC3RD Problem 7-117

Multiple Choice: What is the area of the largest rectangle that can be inscribed under the graph of $y=\cos(x)$ , over the interval $-\frac { \pi } { 2 }≤ x ≤ \frac{π}{2}$ ? .

$1.10$

$1.12$

$1.14$

$1.16$

$1.18$

Hint:

Let $\left(a, 0\right)$ be the coordinate of the lower right-hand vertex. What will be the coordinates of the other three vertices?

Steps:

Write an equation for the area of this rectangle, in terms of $a$ . Then optimize it.

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 7-117 HW eTool