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Suppose the field has a length of 25,000 feet. You buy fencing to enclose it,...

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Calculus

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Suppose the field has a length of 25,000 feet. You buy fencing to enclose it, but discover you've bought 10 feet too much. Rather than throwing away the extra fencing, you enclose a slightly larger field by enlarging each side of the field by the same amount, so the fencing encloses the field and a border:What is the largest animal that could be at point X and be entirely within the border region, touching neither the fence nor the field? (a) an ant, (b) a mouse, (c) a pigeon, (d) a cat, (e) an elephant.Find the average rate of change of the perimeter, if the length increases from x feet to x+h feet.

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