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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.
 Fall '07
 GOMEZ,JONES
 Math, Calculus, Algebra, Trigonometry

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