MATH 140 Study Guide - Final Guide: Scilab, Asymptote, Scantron Corporation
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Math 140/140e: compute x 1 (x + 1)2 lim x 1+ Final exam sample a: compute (cid:18) sin(x) 1 cos(x) (cid:19) d dx a) b) c) 1 cos(x) 1 cos(x) cos(2x) (1 cos(x))2. 1 cos(x: compute the derivative of the function f (x) = (cid:113) 5: 0, 1, 1, compute x |3 x| x 3 lim x 3, 3, 3, 0, 1, the limit does not exist, compute lim x 0. 1 tan(x: 0, 1, 2, 2, the limit does not exist, compute lim x . Final exam sample a: by using an appropriate substitution, the inde nite integral can be transformed to which one of the following integrals? (cid:90) x3 3(cid:112) If the radius of the oil increases at a constant rate of: suppose oil spills from a ruptured tanker and spreads in a circular. 2 m/s, how fast is the area of the spill increasing when the radius is.
