MTH 161 Midterm: MTH 161 University of Rochester Exam2a
31 Jan 2019
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Lubkin matei pizer: no calculators are allowed on this exam, please show all your work. You may not receive full credit for a correct answer if there is no work shown: please indicate your nal answer clearly! Circle the correct answer. (a) let f (x) = (2x2 + x + 1)(3x 1). Find f (1). (b) let f (x) = ex. Find the slope of the tangent line to the curve y4 + x2y2 + yx4 = y + 2 at (1, 1) . Answer: (e) let f (x) = (x11 + 6x5 + 2x + 1)4(3x + 1)3(5x + 1)2. Hint: f (0) is an integer between 20 and 40. Find the equation of the tangent line to the curve x + y = 3 at the point (4, 1). A particle moves on the x axis and its position at time t is given by x(t) = t3 (a)
