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Sample Math 131 Final (2007)

# Sample Math 131 Final (2007) - Math 131 Name Soc Sec Rec...

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Math 131 Final Exam Winter 07 Form A Name: Soc. Sec #: Rec. Instructor: Rec. Time: This is a closed book, 108 minute test with 12 problems on 10 pages; the 1Ift page is for scratch paper. You may not use other scratch paper or notes but may use a calculator. However, answers must have appropriate work to receive full credit. 1. Compute the following limits. If the limit does not exist, but is oo or - o, then say so. (a) lim x2 + 5x -I4 -'--l *z - 5x + 6 2+3t2 -5{ (c) lim ;; 4+9{

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Page2 ,rrxw r"r m0*i 2. "f (x) = (") ,13t_ f @) = (b) (c) Give all values of x for which the function f (x) is not continuous. If there are none then say so. ?v x-7 x-5 if 0<x<3 8-2x if x>3
Page 3 3. Use implicit differentiation to express * ,"terms of x and y , where y is afunction of x ax satisffing the equation 8x5 - 3x2 y + 2y' = 23 (Please circle your answer.) 4. Solve the inequality: @ -!Y {.) > 0 (please circle your answer.) ' l9-r)

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5. Find the derivatives of each of the following functions. vour answer. Page 4 Please do not simpliff and circle (a) y =(sx+r{xn -2xo +9) 5x3 +2 (b) .v =;t--; 5X -I (c) Y = x'et' (d) y= x" +9+^li x
Page 5 fl\lp (e) -y = [n(3x.

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