MA 125 Final: 1-12s-Final exam
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Part i consists of 10 questions each worth 5 points. Place your answer on the answer-line next to the question. Clearly show your work for each of the problems listed. No calculators: find the equation of the tangent line to y cos(2 ) x when x . _________________: find the derivative of y (tan(2 )) x. _________________: find the most general antiderivative of f x. ___________________: find the x -coordinate of each critical number of f x x. 3: find the value of x for which the graph of y ln x x has a horizontal. __________________ tangent: use newton"s method with initial approximation 1. 2x , a second approximation to the root of the equation x . 3 7 0: use calculus to find the x coordinate(s) of the inflection point(s) of f x xe x ( )l x of y x at x . Each problem is worth 8 points except #6 which is worth 10 points.