112FinalAF09Solutions

112FinalAF09Solutions - Math 112 (Calculus I) Final Exam...

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Unformatted text preview: Math 112 (Calculus I) Final Exam Form A KEY Multiple Choice. Fill in the answer to each problem on your computer-scored answer sheet. Make sure your name, section and instructor are on that sheet. 1. Approximate Z 5 1 x 4 dx using a Left Hand sum with 2 subintervals (n=2). (a) 82 (b) 164 (c) 81 (d) 162 (e) 624 (f) 625 (g) None of these 2. Find the area under the function f ( x ) = 3 x from x = 1 to x = 8. (a) 45 4 (b) 1 4 (c) 12 (d) 15 (e) 1 12 (f) None of these 3. Given the limit statement lim x 1 (2 x- 3) =- 1 pick the largest that works with the definition of the limit if = 0 . 06. (a) 0.001 (b) 0.005 (c) 0.01 (d) 0.02 (e) 0.03 (f) No such exists 4. Which of the following is an inflection point of f ( x ) = x x 2 + 1 ? (a) 1 (b)- 1 (c) 2 (d)- 2 (e) 2 (f)- 2 (g)- 3 (h) 3 5. Given x ln y- y ln x = e 2- 2 e , find dy dx at the point ( e 2 ,e ). (a) (b) e (c) e 2 (d) 1- e e 2 (e) 1- e e 2- 2 e (f) e 2- 2 e (g) e- 1 e 2 6. Which of the following are x-values for which f ( x ) = sin( x )- x has a local maximum? (a)- 2 (b)- (c) (d) (e) 2 (f) More than one of these (g) None of these 7. Which of the following functions has a discontinuous first derivative? (a) sinh( x ) (b) x 1 / 3 (c) tan- 1 ( x ) (d) x 1 + x 2 (e) ln( x 2 + 1) (f) All of the first derivatives of these functions are continuous 8. d dx Z 2 x 1 1 + t 3 dt = a) p 1 + (2 x ) 3- 2 b) 2 p 1 + (2 x ) 3- 2 c) 1 + x 3- 2] d) 2 1 + x 3- 2 e) p 1 + (2 x ) 3 f) 2 p 1 + (2 x ) 3 g) 1 + x 3 h) 2 1 + x 3 Solution: f) Short Answer: Fill in the blank with the appropriate answer.Short Answer: Fill in the blank with the appropriate answer....
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112FinalAF09Solutions - Math 112 (Calculus I) Final Exam...

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