MATH 126 Midterm: MATH 126 USC M126 Fall 14f
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Please read all of the following rules carefully before proceeding: check that this exam contains 11 pages, unless otherwise instructed, please clearly indicate all work involved in the solution of each problem. Z 3x2 + x + 1 x(x2 + 1) dx. 0 xe 2xdx: z dx (3 x2)3/2. Let r be the bounded region between the graphs of x = y2 + 1, x = 0 and y = 0. Set up, but do not evaluate, integrals representing the volumes for the solids obtained by rotating r about: the line x = 0, the line y = 1. Problem 6 (10 pts. ) (di erential equations) initially, a tank contains 100 gallons of pure water. Starting at time t = 0, a brine solution of concentration 0. 2 lbs salt/gallon is added to the tank at a rate of 3 gallons/minute.