An environmentalist reports that the depth of the water in a new reservoir is
Chapter 3, Problem 61(choose chapter or problem)
An environmentalist reports that the depth of the water in a new reservoir is approximated by h = d(t) = kt 0 t 2 50 + sin(0.1t) t > 2, where t is in weeks since the date the reservoir was completed and h is in meters. (a) During what period was the reservoir filling at a constant rate? What was that rate? (b) In this model, is the rate at which the water level is changing defined for all times t > 0? Explain.
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