E1Review - Review Exam 1 * This is intended to be a tool to...

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Unformatted text preview: Review Exam 1 * This is intended to be a tool to help you review some of the material that could appear on the exam. It is not inclusive of all topics discussed in lecture. 1. Evaluate the following limits: lim x 2 x 2 + 6 x- 4 x- 2 lim x 3- x 2 + 3 x- 18 x 2- 9 lim x - 3 + x 2 + 3 x- 18 x 2- 9 lim x + x sin( 1 x ) lim x 2 1 2- 1 x 2- 2 2- x lim x 2 + x 2 + 8 x- 20 | 2- x | 2. Given that sin( x ) = 8 17 , cos( y ) = 4 5 , x is an angle in Quadrant I, and y is an angle in Quadrant IV, evaluate csc( y ) and tan( x + y ). 3. Suppose f , g , and h are functions such that lim x - 1 h ( x ) = 4, lim x 2 f ( x ) =- 2, and lim x 2- g ( x ) = 1 2 . Evaluate lim x - 1 + h ( fg )(- 2 x ) (1- p h ( x )) 2 4. Solve for x in [- , ]: tan( x )- sin(2 x ) = 0 5. Solve the inequality: 8- 4 x 2 x 6 6. Find the domain of the following functions: f ( x ) = r x 2- 8 x g ( x ) = x 2 x 2- 4 x h ( x ) = x 2- ln( x ) 7. If f ( x ) = 1 2 + x and g ( x ) = 1...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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E1Review - Review Exam 1 * This is intended to be a tool to...

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