MTH 162 Midterm: MTH 162 University of Rochester 162 Midterm 2 Solutions

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31 Jan 2019
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Circle your instructor"s name along with the lecture time: Zokhrab moustafaev (mwf 9:00 - 9:50) carl mueller (mw 3:25 - 4:40: no calculators are allowed on this exam, you must do both parts of the nal. The rst part can make up for a bad midterm grade, but the midterms cannot make up for the rst part of the. You may not receive full credit for a correct answer if there is no work shown: please put your nal answers in the spaces provided. Part a: (16 pts) let f (x) = 2x2 + 3x (a) (5 points) find the intervals on which f (x) is increasing and decreasing. (b) (5 points) find the local extrema of f (x). 2 (c) (6 points) find the intervals on which f is concave up and concave down: (14 pts) 5x + 3 (a) (7 points) find the vertical asymptotes. 3 (b) (7 points) find the horizontal asymptotes: (20 pts)