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Answer the Problem P(x)=2x+200x,0<x<P ( x ) = 2 x + \frac { 200 } { x } , 0 < x < \infty

Question 73

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Answer the problem.
-The function P(x)=2x+200x,0<x<P ( x ) = 2 x + \frac { 200 } { x } , 0 < x < \infty models the perimeter of a rectangle of dimensions xx by 100x\frac { 100 } { x } .
(a) Find the extreme values for P.
(b) Give an interpretation in terms of perimeter of the rectangle for any values found in part (a).

Correct Answer:

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(a) The only critical point in the inter...

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