MTH 142 Midterm: MTH 142 University of Rochester 2014 Spring Midterm1
31 Jan 2019
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Circle your instructor"s name along with the lecture time: Yoonbok lee (mwf 9:00) dillon ethier (mwf 12:00) Carl mueller (mwf 1:00) eyvindur palsson (tr 2:00: no calculators are allowed on this exam, please show all your work. You may not receive full credit for a correct answer if there is no work shown: please put your simpli ed nal answers in the spaces provided. 1: (24 points) (a), (6 points) find the vertical and horizontal asymptotes of f (x) = If so, what kind of symmetry does it have? f (x) = sin(x) 2 (c), (6 points) find the intervals of increase and decrease for the following function. Nd the points x where the function has a local maximum or local minimum. f (x) = x5. Answer: (d), (6 points) using the same function f (x) as in part (c), nd the intervals on which the function is concave up and concave down, and nd the points of in ection.
