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Dimensions of the rectangle that maximizes its area.
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Answer to Problem 42RE
Dimension of rectangle that maximizes its area are
Explanation of Solution
Given information:
Length
Calculation:
Let, the length and width of the rectangle be
So, radius of semicircle is
So we have,
The area of
Substituting the value of
A special window in the shape of a rectangle with semicircles at each end is to be constructed so outside dimension are
For getting maximum value of area, take the derivative of
That is why,
Hence, dimension of rectangle that maximumizes its area are
Chapter 3 Solutions
Precalculus
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