MAC 2311 Midterm: MAC2311 S14 Test 2
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February 26, 2014 (1) (10 points each) differentiate the function. (a) f (x) = X (b) f (x) = 6sin 1(7x) + 9 sin(8x) + 2 sec(3x) (c) f (x) = x2 + e x x2 1 (2) (10 points) find f (x) and f (x): f (x) = (1 + x)e2x 1. Write the equation of the tangent line. px + y + 2 = 1 + xy. Test 2c page 3 (5) (15 points) an object is moving along a line. Its position at time t is given by the equation of motion s(t) = 0. 01t 4 0. 04t 3, 0 t 5, where s is in feet and t is in seconds. Test 2c page 4 (6) (15 points) alice and bob are directly opposite from each other on opposite sides of a city street that is 50 feet wide. At precisely the same time, they begin walking.
