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mth252f06finalkey

# mth252f06finalkey - Math 252 Fall 2006 Scarborough Final...

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Math 252, Fall 2006 NAME (print) ______ KEY _______________________________ Scarborough Final Exam NAME (sign) __________________________________________ Student Number _______________________________________ This exam is closed book. Calculators and notes are not allowed. This exam has 8 pages with 25 problems. You should scan all the problems before you begin the test so you can plan out your time. The time limit on this exam is 1 hour 50 minutes. Remember multiple choice does not necessarily mean quick answer. Please record your answers to problems 1 through 25 on the provided Scantron sheet using a #2 pencil . Do all work on the exam sheet. No scratch paper is allowed. Also record your answer on these pages by circling the answer. The answer on your Scantron sheet is "your final answer!" Each problem is worth 4 points. 1. Find sec 2 x dx ± ( A ) 1 3 sec 3 x + C ( B ) x + 1 3 tan 3 x + C ( C ) 2sec 2 x tan x + C ( D ) tan x + C ( E ) sec x + C 2. Find j ± 2 ( ) j = 1 5 ² ( A ) 5 ( B ) 6 ( C ) 7 ( D ) j ( j + 1) 2 ± 2 j ( E ) ( j ± 1) j 2 ± 2 j

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Math 252, Fall 2006 Final Exam Page 2 Scarborough KEY 3. x ± ² is the greatest integer less than or equal to x . For example: 0.3 ± ² = 0 and 1.8 ± ² = 1 . Find x ± ² dx 0 3 ± ( A ) 0 ( B ) 1 ( C ) 2 ( D ) 3 ( E ) This integral is not defined. 4. d dx sin( t 2 ) dt 0 x ± equals ( A ) sin( x 2 ) ( B ) ± cos( x 2 ) ( C ) 2 x cos( x 2 ) ( D ) 2 x sin( x 2 ) ( E ) ± 2 x sin( x 2 ) 5. f ( x ) = x , 0 ± x ± 2 1, 2 < x ± 4 ² ³ ´ . Find f ( x ) dx 0 4 ± ( A ) 4 ( B ) 6 ( C ) 8 ( D ) 10 ( E ) This integral is not defined.
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