MTH 142 Midterm: MTH 142 University of Rochester 2003 Fall Midterm2
31 Jan 2019
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Circle your instructor"s name along with the lecture time: Knightly (9 am) cranston (3:25 pm: 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. Find the derivative of f (x) = z x. Find the derivative of g(x) = z 2x x. Find an antiderivative of f (x) = |x|. 2: (24 pts) compute the following. (a) find the average value of f (x) = sin x on [0, ]. (b) z 3. 1 t + 1 t dt (c) z 2xex. 4: (15 pts) a box-shaped well has a square base with dimensions 10 feet by 10 feet. The well is 30 feet deep and contains water to a depth of 20 feet. Use the fact that 1 cubic foot of water weighs 62. 5 lbs.
