Spring runoff The flow of a small stream is monitored for 90 days between May 1 and August 1. The total water that flows past a gauging station is given by
where V is measured in cubic feet and t is measured in days, with t = 0 corresponding to May 1.
- a. Graph the volume function.
- b. Find the flow rate function V′(t) and graph it. What are the units of the flow rate?
- c. Describe the flow of the stream over the 3-month period. Specifically, when is the flow rate a maximum?
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