MA 265 Final: 4-11f-Final exam

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31 Jan 2019
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Egr 265-6d, math tools for engineering problem solving. Find an explicit solution of the initial value problem. A population of bacteria decays proportional to the number of bacteria present at time t due to the e ect of certain medicine. Note: write your answers in terms of natural logarithms, which do not need to be evaluated. A 1 m spring measures m long after a mass of 10 kg is attached to it. The medium through which the mass moves o ers a damping force with damping coe cient = 80 kg/s. Also nd the rate of increase in this direction. xy + 2 y x. Determine the equation of the normal line to the graph of z = ln x x + y. + 1 through the point (1, 0, 1). Find the work done by the force eld along the curve given by the graph of y = x2. 2 1, 0 x 1.

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