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M112-f08-final-solutions

# M112-f08-final-solutions - 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. 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 3. If f ( x ) = Ax 2 + Bx + C , find lim h 0 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) 0 f) Does not exist. Solution: b) 4. The derivative of h ( x ) = x 2 x is

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5. The equation of the tangent line to y = sin 2 x at ( π 6 , 1 4 ) is 3 2 x + 3 - π 3 12 6. For the function f ( x ) = x 2 , for which value of c is f 0 ( c ) equal to the average rate of change of f on [0 , 3]? a) 0 b) 3 2 c) 3 d) 5 2 e) 6 f) There is no such c . g) None of the above. Solution: b)
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M112-f08-final-solutions - Math 112(Calculus I Final Exam...

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