M112-f08-final-solutions

M112-f08-final-solutions - 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. Simplify sin(tan- 1 5 12 ): a) 1 b) 4 5 c) 3 4 d) 5 13 e) 12 13 f) 3 g) None of the above. Solution: d) 2. Find lim x 1 x 2 + x + 2 2 x 2 + x- 3 a) Does not exist b)-1 c) 2 d) 1 2 e) 4 f) 1 4 g) None of the above. Solution: a) 3. If f ( x ) = Ax 2 + Bx + C , find lim h f ( x + h )- f ( x ) h . a) Ax 2 + Bx b) 2 Ax + B c) 2 Ax 2 + Bx + C d) 2 Ax 2 + Bx e) f) Does not exist. Solution: b) 4. The derivative of h ( x ) = x 2 x is a) 2 x 2 x- 1 b) 2 x x 2 x- 1 c) x 2 x ln x d) 2 x 2 x (1 + ln x ) e) 2 x 2 x Solution: d) 5. The equation of the tangent line to y = sin 2 x at ( 6 , 1 4 ) is a) y = 1 4 +2( x- 6 ) sin x cos x b) y = 3 2 x + 3- 3 12 c) y = 1 4 d) y = 1 2 x + 3- 12 e) None of the above. 6. For the function f ( x ) = x 2 , for which value of c is f ( c ) equal to the average rate of change of f on [0 , 3]? a) b) 3 2 c) 3 d) 5 2 e) 6 f) There is no such c . g) None of the above. Solution: b) 7. A farmer wishes to fence in 100 square feet of area into two adjoining rectangular regions. The outside fence costs $8 per linear foot and the dividing fence inside costs $9 per linear foot. What is the minimal cost to fence the region?foot....
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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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M112-f08-final-solutions - Math 112 (Calculus I) Final Exam...

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