112FinalA_W09Solutions_0

112FinalA_W09Solutions_0 - 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 scantron. Make sure your name, section and instructor is on your scantron. 1. Find the absolute minimum value for f ( x ) on the interval [- 4 , 3] when f ( x ) is given by f ( x ) = x 2- 4 x 2 + 4 . a)- 1 b) 5 / 13 c) 4 / 5 d)- 2 e) 2 f) 1 Solution: a) 2. For what value of c is the function g ( x ) below continuous? g ( x ) = cx 2- 4 c x- 2 if x < 2 cx + 1 if x ≥ 2 a) c = 1 b) c = 2 c) c = 1 / 2 d) c =- 2 e) c = 0 f) None of the above Solution: c) 3. Evaluate: d dx Z x 2 3 ln( t- 1) dt a) 2 x ln( x 2- 1) b) 1 x 2- 1- 1 8 c) ln( x 2- 1)- ln(8) d) 2 x ln( x 2- 1)- 2 x ln(8) e) 2 x ln(( x 2- 1) 4 ( x 2- 1)) f) 2 x x 2- 1 + x 4 Solution: a) 4. Use linear approximation to estimate sinh(0 . 1). a) . 2 b) . 01 c)- . 2 d) 1 . 1 e) . 9 f) . 1 Solution: f) 5. A function s ( t ) is given by s ( t ) = t 1 / 3 + t 2 / 3 . Find s 00 (1). a) 1 b)- 1 / 3 c) d)- 4 / 9 e) 1 / 3 f)- 1 Solution: d) 6. Find all vertical asymptotes. y = 3( x- 2)( x + 1) ln( x + 5) ( x + 4)( x- 2) i. x =- 4 ii. x = 2 iii. x =- 5 iv. x = 1 a) i. only b) i. and ii. c) i., ii., and iii....
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This note was uploaded on 11/25/2011 for the course MATH 112 taught by Professor Jarvis during the Spring '08 term at BYU.

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112FinalA_W09Solutions_0 - Math 112 (Calculus I) Final Exam...

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