171quiz100 - ) October 5, 2000 SHOW ENOUGH WORK SO THAT THE...

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Section, Instructor Student Number Name(printed) APSC 171 QUIZ 1 (WHITE) ( 25 MINUTES ) October 5, 2000 SHOW ENOUGH WORK SO THAT THE MARKER KNOWS HOW YOU REACHED YOUR CONCLUSION. 1. Let f be the function with domain (0 , ) given by f ( x ) = 2 x 2 + 1. [4] a) What is the domain of f - 1 (that is the inverse of f )? b) Find an expression for f - 1 ( x ) in terms of x . 2. Find lim t →-∞ t 2 + 5 t + 3 1 - 6 t [3] [SEE OVER]
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3. Find the equation of the tangent line at (1 , 1 2 ) to the graph of f given by f ( x ) = x x + 1 . [3]
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Section, Instructor Student Number Name(printed) APSC 171 QUIZ 1 (YELLOW) ( 25 MINUTES
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Unformatted text preview: ) October 5, 2000 SHOW ENOUGH WORK SO THAT THE MARKER KNOWS HOW YOU REACHED YOUR CONCLUSION. 1. Let f be the function with domain (0 , ∞ ) given by f ( x ) = ‘n ( x 2 + 1). [4] a) What is the domain of f-1 (that is the inverse of f )? b) Find an expression for f-1 ( x ) in terms of x . 2. Find lim x →-∞ √ 2 x 2 + 4 x + 1 3 x + 2 [3] [SEE OVER] 3. Find the equation of the tangent line at (3 , 1 2 ) to the graph of f given by f ( x ) = x-1 x + 1 . [3]...
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This note was uploaded on 12/01/2010 for the course APPLIED SC 171 taught by Professor Professorroth during the Fall '09 term at Queens University.

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171quiz100 - ) October 5, 2000 SHOW ENOUGH WORK SO THAT THE...

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