104F09Final

S 8 14 newtons law of cooling states that the rate at

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14. Newton’s Law of Cooling states that the rate at which a body changes tempera- ture is proportional to the difference between its temperature and the tempera- ture of the surrounding medium. Suppose that a body has an initial temperature of 252 F and that after one hour the temperature is 216 F. Assuming that the surrounding air is kept at a constant temperature of 72 F, determine the tem- perature of the body two hours after the starting time, in degrees Fahrenheit. 9
15. Solve y = ln( x ) x y with initial condition y (1) = 2. 10

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16. Compute the first three terms of the Maclaurin series for f if the Maclaurin series for f begins 1 + ax + bx 2 + · · · . 11
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