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Unformatted text preview: MAC 2311 Sept 28, 2005 Exam I and Key Prof. S. Hudson 1) [25pt] Short answer problems: a) Solve for x , given that log 2 x 3 = 6. b) Given that sec =- 5 / 2 and that / 2 < < , compute tan . c) Solve x 2- 4 x + 3 < 0. d) State the domain and range of f ( x ) = 2 + x- 3. e) Define instantaneous velocity (I am expecting a short formula with a short explanation). 2) [10pt] Sketch the curve by eliminating the parameter and show the direction of move- ment; x = t , y = 2 t + 4. 3) (15pts) Answer True or False. You do not have to explain. a) tan( + x ) is continuous at every point in the interval (0 , ). b) If lim x 2 f ( x ) exists, then lim x 2 + f ( x ) exists. c) If x is a number so that | x- 2 | < 1, then | x- 4 | < 5. d) > , > , + < . 001. e) The Earths population is a continuous function of time. 4) (25pt) Compute the following limits; a) lim x 3 x 2- 9 x- 3 = b) lim t 2- | t- 2 | t- 2 = c) lim x + 5 x 2 +25 x +5 3 x 2...
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This note was uploaded on 05/28/2011 for the course MAC 2311 taught by Professor Staff during the Spring '08 term at FIU.
- Spring '08