MATH113 Study Guide - Final Guide: Riemann Sum
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Instructions: books, notes or calculators are not permitted, show all your work, make sure your examination paper has 6 questions. 100: (20 points) (a) find an equation of the tangent line to the curve x3 + y3 9xy = 0 at the point p (2, 4). Answer: y = (4/5)x + 12/5 (b) if f (cid:48)(cid:48) (t) = t3 + 4t 5 and f(cid:48)(0) = 1, f (0) = 2 nd f (t). Answer: f (t) = t5 (c) find g(cid:48)( . 4 ) if g(x) = cos x +(cid:82) 1. 2 tan x sin(1 + t3)dt. (d) find the critical numbers of f (x) = x 4. 5 (x 9). x = 0, x = 4 (e) find the absolute maximum and absolute minimum values of the function f (x) = 3x5 . Answer: abs. max. f (2) = 56 abs. min. f ( 2) = 56: (20 points) the function f is de ned by f (x) =
