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Unformatted text preview: . Write the particular function having derivative F ( x ) on the interval (0 , ∞ ) and passing through the point (1 , 10) . What is the value of F ( x ) when x = 2 ? 3. Show that F ( t ) = 2 5 (9t ) 5 26(9t ) 3 2 is an antiderivative for the function f ( t ) = t √ 9t on [0 , 9) . Suppose that at any time t ≥ (in hours) the rate at which water ﬂows into a tank (in liters per hour) is given by the formula 10 + 5 f ( t ) . Find the formula V ( t ) for the volume of water in the tank at time t if the tank is initially empty (at t = 0 ). Find the volume of water in the tank after 9 hours....
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 Spring '08
 Smith
 Calculus, Derivative

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