MATH113 Final: MATH113 Final V3 2012 Fall
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Instructions: this is a closed book exam. Name: (30 points) circle your answer (a) (a) 1 lim x 2+ x2 3x + 2. |2 x| = (b) 1 (c) does not exist (d) none of the above (b) if h(x) = 2f (x), where f (1) = 2 and f(cid:48)(1) = 3, then h(cid:48)(1) equals: (a) [ 5, 5] (d) the slope of the tangent line to the curve sin(x y) = 2x+2y at the point ( , ) is: (a) 1/3 (c) Name: (cid:90) 0 cos x (e) if g(x) = (a) (c) Name: (h) if f(cid:48)(x) = 2ex + 3 sin( x) and f (0) = f (1) = 0, then f (x) = (a) 2ex + 3 sin( x) + (2 2e)x 2 (b) 2 sin( x) + (2 2e)x 2 (c) 2ex 3 sin( x) + (2 2e)x 2 (d) none of the above (cid:34) n(cid:88) (cid:18)
