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Textbook Expert
Textbook ExpertVerified Tutor
30 Nov 2021

Given information

given :- the curve 

To find :- show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

Step-by-step explanation

Step 1.

The graph of the curve 

Area of rectangle from -x to x is , 

where  

To maximize A(x),

 

A'(x)=0

 

for  and for  

 

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