MTH 162 Midterm: MTH 162 University of Rochester 162 Exam2 spr2007 Solutions
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 2:25 - 4:40: 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: (10 pts) suppose that we are trying to solve x4 + x 1 = 0 using newton"s method. Assume that our rst guess was x = 1. 2: (14 pts) a cylindrical can must have a volume of 10 cubic inches. The top and bottom cost 1 cent per square inch, while the side costs 2 cents per square inch. Find the dimensions of the can which minimizes the cost. 3: (14 pts) find the point on the line y = x which is closest to (1, 2).
