MA 141 Midterm: MA 141 NCSU PracticeSol

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15 Feb 2019
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Read all of the following information before starting the exam: complete each problem. Show all of your work clearly and in order and justify your answers, as partial credit will be given when appropriate and there may be no credit given for problems without supporting work. Circle or otherwise indicate your nal answers your nal answers. All answers should be completely simpli ed, unless otherwise stated. The wire will cross the river from a to a point x and then travel over land from x to c. Let x be the distance from a point b directly across the river from point a to the point x. Write a function c(x) representing the total cost in terms of x and use that function to nd the value of x that minimizes the cost. Cost = (distance from a to x) + (distance from x to c) C(x) = 600px2 + 1 + 400(10 x) , with domain [0, 10].

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