The water level of a certain body of water is changing at a rate of W(t) == cos inches per hour, where t represents hours since 12 a.m. Part A: Using correct units, explain the meaning of 10W(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 7 p.m. to midnight. 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?
The water level of a certain body of water is changing at a rate of W(t) == cos inches per hour, where t represents hours since 12 a.m. Part A: Using correct units, explain the meaning of 10W(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 7 p.m. to midnight. 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?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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