Mathematics, 19.01.2021 14:00 s5177

The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours since 12 a. m. Part A: Using correct units, explain the meaning of ∫1to10 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 7pm 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 daily number of inches that the water level changes for this lake?

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