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Unformatted text preview: is known about them: f (2) =3 f ′ (2) = 5 g (2) = 1 g ′ (2) = 2 g (0) = 2 g ′ (0) = 4 a) If F ( x ) = f ( x ) g ( x ) , compute F (2) and F ′ (2). b) If G ( x ) = x 3 f ( x )7 g ( x ), compute G (2) and G ′ (2). c) If H ( x ) = 3 + e x g ( x ) , compute H (0) and H ′ (0). 4. ±our containers are each 10 cm tall (see Fgure). Each of them has a volume of 30 cm 3 and each is being Flled by a liquid at the rate of 5 cm 3 per minute. Here is a picture of the containers: a) ±or each of the containers, graph the height, h ( t ), of the level of the liquid in the containers measured in centimeters as a function of time, t , measured in minutes. b) Which of the functions graphed in a) are continuous? Explain your answers. c) Which of the functions graphed in a) are di²erentiable? Explain your answers. 10 cm (A) (B) (C) (D)...
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 Spring '08
 Madey
 Physics, Derivative, Work, Graph of a function, horizontal tangent line

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