MATH114 Midterm: MATH114 Midterm 2008 Winter
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MATH114 Full Course Notes
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Instructions: make sure that the exam has 7 pages including the cover page, books, notes or calculators are not permitted, show all your work to receive full credit. Do not simplify your answers. (a) (4 points) y = cos5(cid:18) 2x7 x. Page 3 (b) (4 points) y = (tan(ex. 3 )8 (3 ecos x)10 (c) (4 points) y = sin(cot3 2 x5: (10 points) evaluate the following limits. If the limit does not exist, explain why not. You will not receive any credit if l"hospital"s rule is used. Page 4 (a) (3 points) lim x 3 x2 x 6. 9x x3 (b) (3 points) x 0 (cid:18) lim. 1 x(cid:19) (c) (4 points) lim x 5 x2 3x 10. Page 5 (a) (6 points) use the de nition of the derivative of f as a function to nd f (x) where f (x) = x.