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Your College is building a new running track. It is to be the perimeter of a region obtained by putting two semicircles on the ends of a rectangle. However, the administration decides they’d also like to have an outdoor pool in the rectangular portion of the area surrounded by the track. Assume the track is to be 440 yards long.   (b) Could you use the Single Critical Point theorem to justify you’ve found the maximum? If so, do it. If not, why not.

Your College is building a new running track. It is to be the perimeter of a region obtained by putting two semicircles on the ends of a rectangle. However, the administration decides they’d also like to have an outdoor pool in the rectangular portion of the area surrounded by the track. Assume the track is to be 440 yards long.   (b) Could you use the Single Critical Point theorem to justify you’ve found the maximum? If so, do it. If not, why not.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Your College is building a new running track. It is to be the perimeter of a region obtained by putting two semicircles on the ends of a rectangle. However, the administration decides they’d also like to have an outdoor pool in the rectangular portion of the area surrounded by the track. Assume the track is to be 440 yards long.

 

(b) Could you use the Single Critical Point theorem to justify you’ve found the maximum? If so, do it. If not, why not.

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