Final Exam- Vancouver 2008

Final Exam- Vancouver 2008 - Math 202-02 Final Exam Spring...

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Unformatted text preview: Math 202-02 Final Exam Spring 2008 Name: ID: Date: Directions: Please show all work unless specified otherwise. You may use a basic scientific calculator, but no graphing calculators. Use proper notation. 1. (12 pts) Evaluate the following limits. Show all of your work or justify your answers! (a) lim t - 1 t 2 + 3 t + 2 t 2- t- 2 x 2 10 1 6 4 2 8 y (b) lim x 1 f ( x ) where f ( x ) = ( x 2 + 4 x if x < 1 , 3 x 3- x- 1 if x 1 . (c) lim x x 2 + 2 x 2 x 3- 2 x + 1 2. (10 pts) Use the limit definition of derivative to show the derivative of f ( x ) = 6 x 2- 4 x is f ( x ) = 12 x- 4. No credit will be given if the limit definition of derivative is not used. 3. (30 pts) Using the derivative rules developed in class, find the derivatives of the following. Do not simplify your answers. (a) r = 1 3 s 2- 5 2 s + 7 s 2 + 1- ln s (b) g ( x ) = (2 x 3- 4 x + 7)(4- x 2 ) (c) v = 1 + x- 4 x x (d) y = 17 t- 3 8 t- 1 (e) y = 3 e 4 x + x 2 (f) y = ln x ( x 2 + 1) 5 1 + x 2 4.4....
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This note was uploaded on 10/20/2010 for the course MATH 201 taught by Professor Smith during the Fall '08 term at Washington State University .

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Final Exam- Vancouver 2008 - Math 202-02 Final Exam Spring...

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