MA 125 Final: 1-12f-Final exam

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31 Jan 2019
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Part i consists of 10 questions, each worth 5 points. Clearly show all your work for each of the problems listed. In 1-4, nd y if: (1) y = x4 tan(x) (2) y = e x x. 1 (4) y = cos(x5 + x) (5) find the critical numbers of y = f (x) = (x 1)2(x + 1)4. (6) find all local/absolute maxima/minima of the function y = 2x4 + 8x. Make sure to state both x and y values. (7) find all asymptotes of the function y = 1 x. 2+x 6 (8) find all x-values where y = arctan(x2) is increasing. (9) find the most general form for the anti-derivative of y = x. X (10) use calculus to nd the dimensions of a rectangle whose area is. Part ii consists of 6 problems; the number of points for each part are indicated by [x pts].

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