Creating Models .A swiiiiiiicr crosses a pool ol width /> by swimming in a straight line

Chapter 1, Problem 105

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Creating Models .A swiiiiiiicr crosses a pool ol width /> by swimming in a straight line Irom (0. 0) lo (2/>. />) (See figure.) (a) Let / he a function defined as llic v-coordinalc of (lie point on the long side of the pool that is nearest the swimmer at any given time during the swimmer's path across the pool. Determine the function / ami sketch its graph Is it continuous? Explain. (b) Let t; be the nuninium distance hctwcen the sw innner and the long sides of the pool. Determine the function ,;,' and sketch its graph. Is it continuous? Explain.

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