Unformatted text preview: and is a Lower Estimate. Leave your answer as an unsimpliﬁed sum of numbers. Note that f ( x ) = e x 2 is increasing on [1,3]. 8. (10 points) Depicted in ﬁgure 8 is the velocity (in units of feet per second) of an object moving on a line. The numbers inside the bumps indicate areas. Suppose that when t = 0 its position is s = 2 a. What is its position when t = 10? b. What is the total distance traveled by the object between times t = 0 and t = 10? 9. (15 points) Depicted in ﬁgure 9 is the graph of a function f . Let g ( x ) = R x 1 f ( t ) dt . a) Evaluate g (1), g (5) and g (10). b). Find a sign chart for g . c. Use the sign chart above to sketch the graph of g . Show the intervals of increase and decrease and local maximum and minimum. (Do not worry about concavity.) 10. (5 points) Find the exact value of the following integral. Z 4 1 ( t 2 + 3 t ) dt....
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 Spring '11
 salch
 Math, Calculus, Critical Point

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