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Largest Area A rectangle is to be inscribed in a semicircle of radius 5 cm as shown in the following figure.

(a) Show that the area of the rectangle is modeled by the function 

 

(b) Find the largest possible area for such an inscribed rectangle. [ Hint: Use the fact that sin u achieves its maximum value at ].

(c) Find the dimensions of the inscribed rectangle with the largest possible area.  

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Priyanshu Patel
Priyanshu PatelLv10
15 Mar 2021

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