{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Reshetikhin05Final

# Reshetikhin05Final - Math 1B Final Examination...

This preview shows pages 1–6. Sign up to view the full content.

Math 1B, Final Examination N.Reshetikhin, May 13, 2005 Problem 1 2 3 4 5 6 7 8 9 10 11 12 Total Points 10 15 15 15 15 15 15 15 15 10 15 20 175 Grade Student’s Name: GSI’s name: Student’s i.d. number: 1.( 10 pnts ) Evaluate the integral Z e x dx 1

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

View Full Document
2.( 15 pnts ) Evaluate the integral Z 1 ( t 2 - 1)( t - 1) dt 2
3.( 15 pnts ) Indicate which of the following statements are true and which are false. Do not show your work. 1. Z 1 sin 2 x x 3 dx converges by comparison test with Z 1 1 x 3 dx . 2. Z 1 sin( x - 2 ) x dx diverges by comparison test with Z 1 1 x dx . 3. Z 2 1 dx ( x - 1) 2 dx is a convergent improper integral. 4. Z -∞ 1 x 2 dx is a divergent improper integral. 5. Z 0 ln( x ) ( x + 1) 3 / 2 dx is a convergent improper integral. 3

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

View Full Document
4.( 15 pnts ) Find the radius and the interval of convergence of the power series X n =1 n - 1 ( n + 2)(2 n + 5) x 2 n 4
5.( 15 pnts ) State whether the following series is absolutely convergent, con- ditionally convergent, or divergent. Do not show your work.

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 / 13

Reshetikhin05Final - Math 1B Final Examination...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online