Exam 2A

# Exam 2A - D ( t ) is the number of miles from South Station...

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Mt100 - Calculus I Exam 2 October 31, 2007 Variation: A On the cover of your blue book, put: your name your discussion section time: 10, 3, or 4 your test variation letter: above Put all your answers in the blue book. Be organized, clear, neat, and grammatically correct. Be concise, but be sure to show all your relevant work. The point value of each problem precedes it in parentheses. The total, of course, is 60. 1 . (8) Consider the following data about the distance traveled s ( t ) (in miles) of a speeding car at time (in minutes). 0 2 4 6 8 10 ( ) 0.0 9.1 17.4 21.1 23.1 23.6 a. Give the average velocity of the car over the elapsed 10 minutes. b. Estimate the instantaneous velocity at = 6 . c. What is the sign (positive or negative) of " " s (the 2 nd derivative of )? 2. Consider the following function f ( x ) . Sketch the graphs of " f ( ) and " " ( ) .

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3 . (8) Suppose
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Unformatted text preview: D ( t ) is the number of miles from South Station that an Amtrak Acela train has travelled after hours. What, in precise practical terms, does each of the following statements mean? a. (1) = 70 b. " D (2) = 40 4 (28) Find the derivative of each of the following functions, with respect to the given variable. f ( x ) = 8 " 7 4 + 4 " 8 + 7 " 8 g ( z ) = 4 sin c. h ( " ) = e 2 + 1 d. k ( ) = 10 + " # \$ % & ’ 20 e. m ( y ) = sin 3 ( ) 5 (8) Suppose that functions ( ) , ( ) , and ( ) are given as follows: -1-.5 .5 1 ( ) 2-1 1-1 ( ) = 2 + + 1 Compute, or if necessary estimate, each of the following. " k 1 2 # \$ % % & ’ ( ( , where ( ) = ( ) ( ) " w ( # 1) , where w ( ) = gh ( ) ( )...
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## This note was uploaded on 06/04/2008 for the course MT 100 taught by Professor Keane during the Fall '07 term at BC.

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Exam 2A - D ( t ) is the number of miles from South Station...

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