MATH-106 Midterm: MATH 106 Bates harkleroad106Exam

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15 Feb 2019
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Page 1 page 2 page 3 page 4 page 5 page 6 page 7 total (200 pts. ) (15 pts. ) (30 pts. ) (30 pts. ) (35 pts. ) (30 pts. ) (30 pts. ) (30 pts. ) Below you will nd 20 problems, with their maximum scores. When writing a solution to a problem, show all work. Given the function h(x) = 2x2 + 3, nd functions f (x) and g(x), such that h(x) = (f g)(x). Given the functions f (x) = 3 x 4 and g(x) = 8x3 + 4, nd the composition (f g)(x) and simplify. Find the equation of the line passing through the point ( 1, 3), which is perpendicular to the line x 2y = 4. Consider the function f (x) = x3 3x + 2. Use your calculator to determine the relative maximum and minimum points, as well as the intervals where f (x) is increasing or decreasing. Solve the equation 4x + 1 + x = 5.