MAC 2311 Midterm: MAC2311 S10 Test 2

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31 Jan 2019
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March 3, 2010 (1) (6 points each) differentiate the function. (a) f (x) = 5 (b) f (x) = 8 tan(x5) + 9 sec(1 + x) (c) f (x) = sin 1(2x) 7e3x (2) (8 points each) differentiate the function. (a) f (x) = 15 + e4 x ex 4 (b) f (x) = (3x4 5) tan(6x) Test 2e page 3 (5) (20 points) an object is moving along a line. Its position at time t is given by the equation of motion s(t) = t 2(6 t), 0 t 7, where s is in feet and t is in seconds. Test 2e page 4 (6) (20 points) a winch and cable are pulling a jeep along a straight trail composed of crushed limestone. The cable passes over a pulley which is ten feet above the roadbed. The cable is reeled in at twenty feet per minute.