To find: The dimension of the rectangle with the largest area. Also, find the largest area.
Answer to Problem 21E
The dimensions are
Explanation of Solution
Given information: Curve is
Concept used: The maximum value of the function
Calculation:
Consider the upper vertex of the rectangle as
So, the width of the rectangle is
Now, multiply
Differentiate the obtained function with respect to
Equate the obtained derivative to 0 and solve for
Substitute
Therefore, the required dimensions is
Substitute
Chapter 4 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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