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1. A cylindrical can of radius 10 millimeters is used to measure rainfall in Stormville. The can is initially empty,
and rain enters the can during a 60day period. The height of water in the can is modeled by the function S,
where S (t ) is measured in millimeters and t is measured in days for 0 £ t £ 60. The rate at which the height
of the water is rising in the can is given by S ¢(t ) = 2sin (0.03t ) + 1.5.
(a) According to the model, what is the height of the water in the can at the end of the 60day period?
(b) According to the model, what is the average rate of change in the height of water in the can over the
60day period? Show the computations that lead to your answer. Indicate units of measure.
(c) Assuming no evaporation occurs, at what rate is the volume of water in the can...
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This note was uploaded on 09/06/2013 for the course MATH AP Calculu taught by Professor Mosby during the Spring '13 term at Silverton High School, Silverton.
 Spring '13
 Mosby
 Calculus, AP Calculus

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