{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

162FE-F06

# 162FE-F06 - MATH 162 FALL 2006 FINAL EXAM STUDENT NAME...

This preview shows pages 1–2. Sign up to view the full content.

MATH 162 – FALL 2006 – FINAL EXAM DECEMBER 13, 2006 STUDENT NAME & ID———————————————————————- RECITATION TIME & INSTRUCTOR——————————————————– INSTRUCTIONS 1. Verify that you have 12 pages. 2. Fill in the blank spaces above. 3. Use a number 2 pencil to write on your mark-sense sheet . 4. On your mark sense sheet , write your name, your student ID number, the division and section numbers of your recitation, and fill the corresponding circles. 5. Mark the letter of your response for each question on the mark-sense sheet. 6. There are 22 questions, the first two are worth 10 points each. The others are worth 9 points each. 7. Show as much as possible of your work. Although this exam will be machine graded, in certain situations it may be necessary that we look at your exam. 8. No books, notes or calculators may be used. ————————————————————————————————————– USEFUL FORMULAS sin 2 x = 1 - cos(2 x ) 2 , cos 2 x = 1 + cos(2 x ) 2 , 1 + tan 2 x = sec 2 x cos( π 3 ) = sin( π 6 ) = 1 2 , cos( π 6 ) = sin( π 3 ) = 3 2 , cos( π 4 ) = sin( π 4 ) = 2 2 Volumes V = π integraldisplay b a A ( x ) dx, V = integraldisplay b a 2 πxf ( x ) dx Moments and center of mass M x = integraldisplay b a 1 2 ( ( f ( x )) 2 - ( g ( x )) 2 ) dx, M y = integraldisplay b a x ( f ( x ) - g ( x )) dx, x = M y M , y = M x M , Arc length L = integraldisplay b a radicalbig 1 + ( f

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 12

162FE-F06 - MATH 162 FALL 2006 FINAL EXAM STUDENT NAME...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online