CPM Homework Help : CALC Problem 7-115

Multiple Choice: Find the area of the largest rectangle that can be inscribed under the graph of $y =\operatorname{cos} x$ , in the interval $−\frac { \pi } { 2 }≤ x ≤\frac { \pi } { 2 }$ .

$1.14$

$1.16$

$1.18$

Hint:

Let $(a, 0)$ 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 7-115 HW eTool