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Unformatted text preview: 4 4 3 ) ( 4 3 x x x x f+= f. ) 1 2 )( 3 4 ( 2 ) ( 3 += t t t t t s g. e e x y x ln ) 2 ln( 5 3 2 + + + =h. ) 5 ln( + = x e y x 8. Find the equation of the line tangent to the graph of f(x) at x = 2. 3 2 3 ) ( 2 + += x x x f 9. Find the value(s) of x where the tangent line is horizontal for ) 45 )( 3 ( ) ( 2+ = x x x f . 10. Suppose the position of an object moving in a straight line is given by the function , 6 3 5 ) ( 2 + + = t t t s where s represents distance in meters, and t is time in seconds. a. Find average velocity from t=1 to t=5. b. Find instantaneous velocity at t=4. 11. The total sales S (in thousands of CDs) for a compact disk are given by 2 2 90 ( ) 50 t S t t = + where t is the number of months since the release of the CD. a. Find S’(t) b. Find S(10) and S’(10). Write a brief verbal interpretation of the results....
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 Spring '12
 DavidScheinker
 Math, Derivative, Continuous function, Nesbitt

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