04faex02 - Math 171 C. G omez Fall 2004 November 16, 2004...

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Unformatted text preview: Math 171 C. G omez Fall 2004 November 16, 2004 Exam 2 Name: TAs Name Section Time No calculators, notes, or books are allowed. You must show your work, and explain your reason- ing to receive credit for your an- swers. Be sure to check your answers when- ever possible. On the last page of the exam, you will find lots of formulas and identi- ties that may or may not be useful. Good luck! Math 171 Exam 2 2 1. [5 points each] In each of the following, compute the limit or explain why it doesnt exist. (a) lim x 2 x 2- 5 x + 6 x 2- 4 (b) lim x x 3 + x- 1 2 x 3 + 3 x (c) lim x 2 + x- 4 x- 2 Math 171 Exam 2 3 2. [5 points] Let f ( x ) = 2 x + a, if x <- x 2- 1 , if x 0. If f is continuous, find a . Math 171 Exam 2 4 3. [5 points each] Differentiate each of the following functions. (a) f ( x ) = 3 x 7- 5 x 5 + 4 x- 1- 1 (b) g ( x ) = ( x 2- 1) 3 (2- 3 x ) 2 (c) y = x 2 + 1 2 x- 1 Math 171 Exam 2 5 4. [10 points] Let f ( x ) = x 2 + 2 x . Use the definition of the derivative to find f (- 1). Math 171 Exam 2...
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This note was uploaded on 08/08/2008 for the course MATH 171 taught by Professor Gomez,jones during the Fall '07 term at Wisconsin.

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04faex02 - Math 171 C. G omez Fall 2004 November 16, 2004...

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