- 2 sin(1-1) inches per hour, where t represents hours since 12 a.m. The water level of a certain body of water is changing at a rate of W(t)=sin 1- Part A: Using correct units, explain the meaning of W(t) dt in terms of the context of this problem. Part B: Write the integral that represents the number of inches that the water level changes from 10 a.m. to 3 p.m. Part C: Use your calculator to evaluate your integral from Part B. Explain the meaning of the answer in terms of the context.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The water level of a certain body of water is changing at a rate of W(t)=sin 1-
sin(1-
1)
inches per hour, where t represents hours since 12 a.m.
Part A: Using correct units, explain the meaning of 2W(t) dt in terms of the context of this problem.
Part B: Write the integral that represents the number of inches that the water level changes from 10 a.m. to 3 p.m.
Part C: Use your calculator to evaluate your integral from Part B. Explain the meaning of the answer in terms of the context.
Part D: What is the average hourly number of inches that the water level changes for this lake in one day?
Transcribed Image Text:The water level of a certain body of water is changing at a rate of W(t)=sin 1- sin(1- 1) inches per hour, where t represents hours since 12 a.m. Part A: Using correct units, explain the meaning of 2W(t) dt in terms of the context of this problem. Part B: Write the integral that represents the number of inches that the water level changes from 10 a.m. to 3 p.m. Part C: Use your calculator to evaluate your integral from Part B. Explain the meaning of the answer in terms of the context. Part D: What is the average hourly number of inches that the water level changes for this lake in one day?
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