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7-115.

Multiple Choice: Find the area of the largest rectangle that can be inscribed under the graph of , in the interval .

Let be the coordinate of the lower right-hand vertex. What will be the coordinates of the other three vertices?

Write an equation for the area of this rectangle, in terms of . 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