Explanation Given information: A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge in the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m 3 /hr at 6 am and increases steadily to about 280 m 3 /hr at 9 am. Calculation: The water volume in general is given by Volume = Flow rate × Duration of flow We know that the flow rate is not constant. We also know the flow rate at 6 am and 9 am. We can estimate by assuming that the flow rate is the same as it was at 6 am (left estimate) for the entire duration then Volume L = 100 ⋅ 3 = 300 m 3 Or the same as it was at 9 am (right estimate)

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 5.1, Problem 18P

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Give your best estimate of the total volume of water used by the factory between 6 am and 9 am.

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Chapter 5.1, Problem 17P

Chapter 5.1, Problem 19P

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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Give your best estimate of the total volume of water used by the factory between 6 am and 9 am.

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Chapter 5 Solutions