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Unformatted text preview: determine if they are removable: f ( x ) = x x 24 x + 3 . 3 5. (14 points) Find the derivatives of the following functions: (a) f ( x ) = 3 x ( x 22 x ) , (b) g ( x ) = 2 x 34 x 2 +3 x 2 . 6. (10 points) Find the equation of the tangent line to the graph of f ( x ) = 1 3 √ x 2x at point (1 , 2) . 4 7. (12 points) The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of the Washington Monument is given by s =16 t 2 + 555 . (a) Find the average velocity on the interval [2 , 3]. (b) Find the instantaneous velocities at t = 2 and t = 3. (c) How long will it take the dollar the hit the ground? (d) Find the velocity of the dollar when it hits he ground. 5...
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 Spring '08
 DUANEKOUBA
 Math, Calculus, Derivative, general form, instantaneous velocities, Math 016A

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