(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 3mminuntil the tank is full. •In calculus, we call this rate drdt, the derivativeof 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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