Concept explainers
Tides Throughout the day, the depth of water D (in meters) at the end of a dock varies with the tides. The depth for one particular day can be modeled by
(a) Determine dD/dt.
(b) Evaluate dD/dt for t = 4 and t = 20, and interpret the meaning of these values in the context of the problem.
(c) Find the time(s) when the water depth is the greatest and the time(s) when the water depth is the least.
(d) What is the greatest depth? What is the least depth?
(e) When is the rate of change of the water depth the greatest? the least?
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Calculus: An Applied Approach (Providence College: MTH 109)
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