Precalc0105to0107-page29 - (Section 1.6 Combining Functions...

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(Section 1.6: Combining Functions) 1.6.17 Example 10 (Conical Water Tank Problem with a Time Variable; Revisiting Example 9) Let’s say the tank from Example 9 is empty at time t = 0 , at which time water starts flowing in. The radius of the water cone increases at the rate of 3 m min until the tank is full. In calculus , we call this rate dr dt , the derivative of the radius with respect to time. (Does this mean that the water is flowing in at an increasing rate or a decreasing rate as it fills the tank?)
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