MATH 142 Midterm: MATH142 South Carolina Exam 1 Solutions
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You must show your work to receive full credit. X3 (x+h)3 h x(cid:1)x (c) (4 points) limx (cid:0)1 + 2. Page 3: (10 points) find all asymptotes of the function f (x) = 2x2. Page 4: (5 points) for what values of a is the function m(x) = (cid:26) a2x 2a. Page 5: (5 points) find the tangent line to the curve y = e1/x at the point x = 1, (5 points) find dr d given that 1/2 + r1/2 = 1. Page 6: (10 points) find the global maximum and minimum for the function f (x) = 4 x3 on the closed interval 2 x 1. Page 7: (10 points) determine where the function f (x) = e2/x is increasing/decreasing and where it is concave up/concave down. 100 light years from earth. (make sure to give units. ) (c) (4 points) find the ship"s average velocity in the rst 10 days of its travels. (make sure to give units. )
