SOLUTION: A rectangle is inscribed inside the semi-circle y=square root of 100-x^2. what are the dimensions of the rectangle with maximum area? include a diagram

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Question 322321: A rectangle is inscribed inside the semi-circle y=square root of 100-x^2. what are the dimensions of the rectangle with maximum area? include a diagram
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
For a rectangle,

In this case, and



Now area is only a function of x.
Differentiate with respect to x to find the maximum.


Set the derivative equal to zero.









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