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# gp01 - T x(Practice on x = 500 ft or x = 1000 ft if you...

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Homework 1, Graded Problems. 1. Refer to Problem 62, Section 1.1 of your text. But this time, instead of laying a cable, you’re going to swim from the power plant to point Q . Then you will walk from point Q to Dayton. You swim at a rate of 100 ft/min and you walk at a rate of 200 ft/min. The total time, T , it takes you to get from the power plant to Dayton is a function of the distance x . (a) (5 pts.) Compute T (0). (b) (5 pts.) Compute T (10560). (c) (10 pts.) Compute T ( x ). (Practice on
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Unformatted text preview: T ( x ). (Practice on x = 500 ft or x = 1000 ft if you need to.) (d) (5 pts.) Can you make it from the power plan to Dayton in less than one hour? Justify your answer. 2. (10 pts.) f ( x ) = x + 1 2 − x and ( f ◦ g )( x ) = x + 2. Find g ( x ). 3. Suppose that the function y = A sin p 2 π B ( x − C ) P has the graph shown below. Find the exact values of A , B and C (5 pts. each). –2 –1 1 2 –2 –1 1 2 3 4 1...
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