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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 dierentiable? Explain your answers. 10 cm (A) (B) (C) (D)...
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