# Exam3_calc - Exam #3, version 1 Math 2313, Calculus I...

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Exam #3, version 1 Math 2313, Calculus I Spring 2008 For problems 1 – 4, circle the best answer. 1) [2 pts] What is the antiderivative of x x tan sec ? a) C x + tan b) C x + sec c) C x x + sec tan d) None of the above. 2) [2 pts] The differential, dy , is equal to a) dx x f ) ( b) dx x f ) ( c) ) ( x f d) y 3) [2 pts] Which of the following functions has a horizontal asymptote? a) 6 5 2 ) ( 2 + - = x x x f b) 1 8 3 ) ( 2 - - = x x x f c) 18 4 10 ) ( 2 3 5 + + - = x x x x x f d) 4 1 6 ) ( 3 2 + - = x x x f 4) [2 pts] If a function, ) ( x f , is concave down on an interval, then the slope of the tangent at a point x in that open interval is a) increasing b) decreasing c) constant d) it varies 1

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For the remaining problems, read directions carefully, show all work , and give units with application answers. 5) [8 pts] Use the first derivative test to find any relative extrema of the function: 5 5 ) ( 5 x x x f - = 6) [8 pts] Use the second derivative test to find any relative extrema of the function: x x x f 4 ) ( + = 2
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## This note was uploaded on 10/31/2010 for the course CALC 101 taught by Professor Lylebatton during the Spring '05 term at North Central Texas College.

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Exam3_calc - Exam #3, version 1 Math 2313, Calculus I...

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