APPM 2360 Midterm: archive_appm2360fall2018exam1

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) crib sheet is allowed. Problem 1 (18 pts): let m(t) be the amount of mass in kg of a radioactive substance, and assume dm/dt is proportional to m due to radioactive decay. The amount of substance is measured at 3 kg at t = 0. Problem 2 (20 pts): for each of the ve di erential equations in the rows of the table below, ll out the table by answering the questions. The region r is r = {(t, y) | 4 < t < 4, 4 < y < 4}. The last two rows are asking about solutions that satisfy the initial condition y(t0) = y0.