112FinalA_W09Solutions_0

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

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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 3. Evaluate: d dx Z x 2 3 ln( t - 1) dt

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4. Use linear approximation to estimate sinh(0 . 1). 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) 0 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
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