To find: the area of the rectangle.
Answer to Problem 40E
The area of the rectangle is
The length is
Explanation of Solution
Given:
Ellipse
Calculation:
It is known that for any
The area of the inscribed rectangle (with height 2y and length 2x given by:
Differentiating with respect to
Needs to maximize the area,
Therefore,
Conclusion:
Therefore, the area of the rectangle is
The length is
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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