MATH113 Final: MATH113 Final Exam 2012 Fall
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Instructions: this is a closed book exam. Name: (30 points) circle your answer (a) the domain of f (x) = ln(25 x2) is: ( , 5) ( 5, 5) (5, ) (a) (b) ( , 5) (5, ) (c) ( 5, 5) (d) [ 5, 5] (b) the slope of the tangent line to the curve sin(x y) = 2x+2y at the point ( , ) is: (a) 1/3 (c) 2/3 (d) none of the above (c) x2 3x + 2 lim x 2+ x2 3x + 2. 1 (c) does not exist (d) none of the above (d) if h(x) = 2f (x), where f (1) = 2 and f(cid:48)(1) = 3, then h(cid:48)(1) equals: (a) 12 (b) ln(212) (d) none of the above. 5 (d) none of the above (cid:90) 0 cos x (g) if g(x) = (a) (c) 1 + (h) the limit i=1 (cid:82) 3 lim n . 0 (1 (1 + x)2)dx (cid:82) 3.
