MAT 127 Midterm: S16mt2
31 Jan 2019
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Name (please print legibly): no calculators or notes are allowed on this exam, please show all of your work. You may use the backs of pages if necessary. You may not receive full credit for a correct answer if there is insu cient work shown: you do not need to simplify all the way (but please evaluate trig and inverse trig functions when possible). Acceptable answer: (4(22) 2) (4 1). 100: (18 pts) evaluate the following integral. 9 x2 dx: (12 pts) a tank holds 70 l of pure water. Salt water pours into the top of the tank at the rate of 3 l/min. The concentration of salt in this salt water is 2g/l. The tank is continuously stirred, while draining from the bottom at the rate of 3l/min. Give the di erential equation satis ed by the mass m(t) of salt (in grams) in the tank at time t (in minutes).
