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Unformatted text preview: MATH 162 SPRING 2004 FINAL EXAM MAY 3, 2004 STUDENT NAME STUDENT ID RECITATION INSTRUCTOR RECITATION TIME INSTRUCTIONS 1. Fill in your name, your student ID number, and your recitation instructors name and recitation time above. Write your name, your student ID number and division and section number of your recitation section on your answer sheet, and fill in the corresponding circles. 2. Mark the letter of your response for each question on the mark-sense sheet. 3. There are 25 questions, each worth 8 points. 8. No books, notes or calculators may be used. Useful formulas: Trigonometry: 1 + tan 2 x = sec 2 x cos( 3 ) = sin( 6 ) = 1 2 , cos( 6 ) = sin( 3 ) = 3 2 , cos( 4 ) = sin( 4 ) = 2 2 Moments and center of mass: M x = Z b a 1 2 ( ( f ( x )) 2- ( g ( x )) 2 ) dx, M y = Z b a x ( f ( x )- g ( x )) dx x = M y M , y = M x M , 1 2 Arc length L = Z b a p 1 + ( f ( x )) 2 dx or L = Z b a p ( x ( t )) 2 + ( y ( t )) 2 dt....
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