Monday

April 21, 2014

April 21, 2014

Posted by **Abi** on Thursday, June 13, 2013 at 10:04am.

a) Draw a figure that visually represents the problem. Let x and y represent the length and width of the rectangular region respectively

b) Determine the radius of the semicircular ends of the track. Determine the distance, in terms of y, around the inside edge of each semicircular part of the track.

c) Use the result of part b to write an equation in terms of x and y, for the distance traveled in one lap around the track. Solve for x.

d) Use the result of part c to write the area A of the rectangular region as a function of x. What dimensions will produce a rectangle of maximum area?

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