MATH 205 Midterm: MATH 205 Louisville Practice Exam 3 150410

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15 Feb 2019
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For full credit show all of your work (legibly! Algebraic and trigonometric simpli cation of answers is generally unnecessary: (17 points) answer the following questions: (a) (8 points) find the general antiderivative of g(x) = x3+3x+2 x2 . 1 x2 + csc x cot x. (b) (9 points) given that f (2) = 0 and f (t) = t3. 16 t3 , nd a formula for f (t): (24 points) an industrial manufacturer has budgeted 8000 square feet of oor space for a rectangular factory with a loading dock running along one side. They want to ll it as full as possible with machines, but regulations require 10 feet of open oor space along each wall, and 15 feet of open oor space along the loading dock. Name: (24 points) answer the following questions related to the shape of the graph of the function f (x) = x3.