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# Walking and rowing. Kelly has finished a picnic on an

ISBN: 9780321570567 2

## Solution for problem 60E Chapter 1.2

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 60E

Walking and rowing?. Kelly has finished a picnic on an island that is 200 m off shore, as shown in the figure. She wants to return to a beach house that is 600 m from the point P ? on the shore closest to the island. She plans to row a boat to a point on shore ?x meters from ?P and then jog along the (straight) shore to the house. ? ? a. Let ?d? )be the total length of her t? ip as a function of ? . Graph this function. b. Suppose that Kelly can row at 2 m?/s? and jog at 4 m/s. Let T ? ? ) be the total time for ? er trip a?s a ?fu?nction ? . Graph ?y =? (?x). c. Based on your graph in part (b), estimate the point on the shore at which Kelly should land in order to minimize the total time of her trip. What is that minimum time?

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Walking and rowing. Kelly has finished a picnic on an

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