Explanation Given information: Filters at a water treatment plant become less effective over time. The rate at which pollution passes through the filters into a nearby lake is given by the following table. Day 0 6 12 18 24 30 Rate (kg/day) 7 8 10 13 18 35 Calculation: With a constant rate the pollution would be given by Pollution = Rate × Duration We can give estimates by assuming the rate remains constant for each interval given. A left estimate is given by assuming it takes the leftmost value in the interval so Pollution L = ∑ Rate ⋅ Δ t = 7 ⋅ 6 + 8 ⋅ 6 + 10 ⋅ 6 + 13 To determine (b) Give bounds (lower and upper estimates) between which the true quantity of pollution must lie. (Assume the rate of pollution is continually increasing.)

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 5.1, Problem 19P

To determine

(a)

Estimate the total quantity of pollution entering the lake during the 30-day period.

To determine

(b)

Give bounds (lower and upper estimates) between which the true quantity of pollution must lie. (Assume the rate of pollution is continually increasing.)

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Chapter 5.1, Problem 18P

Chapter 5.1, Problem 20P

Chapter 5 Solutions

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(a) Estimate the total quantity of pollution entering the lake during the 30-day period.

Solution Summary: The author explains how to estimate the total quantity of pollution entering the lake during the 30-day period.