Calculus1Exam2Spring 2002 - Calculus I Exam #2 March 13,...

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Calculus I Exam #2 March 13, 2002 Name _______________________________ You must show all your work on this paper . Solutions without correct supporting work will not be accepted. You may omit one problem by clearly writing “OMIT” by the problem. You may work the problem you omit for 5 points extra credit if you wish. If you do not omit a problem, I will omit the last one for you. Each problem is worth 10 points. 1. Find the absolute extrema of on the interval x x x f 2 3 ) ( 3 / 2 = [ ] 1 , 1 . 2. Determine if the Mean Value Theorem applies to on the interval [-1,1]. If so, find all values of c in the interval (-1,1) that are guaranteed by the theorem. x x x x f 2 ) ( 2 3 = 3. () 3 3 ) ( = x e x x f a. Determine the interval(s) where is increasing. f b. Determine the interval(s) where is concave up. f
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4. Find all relative extrema of 2 4 2 4 1 ) ( x x x f = . Write your answers as ordered pairs. 5. Sketch the graph of given: is continuous on ) ( x f y = f ( ) , 0 ) 2 ( ) 1 ( 2 ) 0 ( 0 ) 4 ( ) 3 ( = = = = = f f f f f ) 1 ( f is undefined 0 ) ( > x f on (-1,1) and (2, ) 0 ) ( < x f on (- , -1) and (1, 2) 0 ) ( > x f on (- , 1) and (1,
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This note was uploaded on 01/12/2012 for the course MATH 2554 taught by Professor Pamelasatterfield during the Spring '11 term at NorthWest Arkansas Community College.

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Calculus1Exam2Spring 2002 - Calculus I Exam #2 March 13,...

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