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# reviewI - Practice Problems for Midterm I MATH 10B 2010...

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Practice Problems for Midterm I, MATH 10 B, 2010 Spring 1 . The velocities in miles per hour of a decelerating car sampled over the course of an hour is given in the table below: t (min) 0 10 20 30 40 50 60 v (mph) 60 55 52 37 30 25 20 Find a right hand estimate for the distance the car has traveled over the course of the hour. Identify n and Δ t . 2 . Values of a function f ( x ) for 0 x 16 are tabulated below. x 0 2 4 6 8 10 12 14 16 f ( x ) 80 52 40 31 23 17 11 5 0 (a) Find the left hand estimate for R 16 0 f ( x ) dx using 4 subintervals ( n = 4). (b) Find the right hand estimate for R 16 0 f ( x ) dx using 8 subintervals ( n = 8). 3 . A function G ( x ) satisfies G ( 0 ) = 100. The graph of G 0 ( x ) is given below. Find the value of G ( - 2 ) and explain how you arrived at your answer. 4 . The graph of a function f ( x ) is given below. Let F ( x ) be an antiderivative of f ( x ) , that is, F 0 ( x ) = f ( x ) . (a) At which value(s) of x does F ( x ) have a local maximum? Be sure to indicate how you arrived at your answer(s). (b) At which value(s) of x does F ( x ) have a local minimum? Be sure to indicate how you arrived at your answer(s).

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