APPM 1350 Midterm: appm1350summer2016exam2solutions_0

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31 Jan 2019
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On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 100 points and has 5 questions on both sides of this paper: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work and simplify your answers! Use the values in the table to compute g (1). = sin x(tan x + 1) and dy dx. = cos x tan x + cos x + sin x sec2 x. Differentiating implicitly we get: x2 = xy + 2y2 dy dx(cid:19) + 4y dy dx. 4x xy y = (x + 8y xy) 4x xy y x + 8y xy dy dx dy dx dy dx dy dx (b) the derivative of g(x) is given by g (x) = 2xf (2x) x2f (2x)2 = 2(cid:2)xf (2x) + x2f (2x)(cid:3)