Math 1B - Spring 1990 - Ribet - Midterm 2

# Math 1B - Spring 1990 - Ribet - Midterm 2 - 1

• Test Prep
• 1

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 09/28/2000 THU 09:27 FAX 6434330 MOFFITT LIBRARY .001 Second Midterm Examw—GO points 1 (5 points each). Find the sums of the following series: 00 n+1 n+2 a. ”2—1[ln( n )—ln(n+l):|. b-:(s<z>"—4<—:>”“)- 2 {7' points each}. Determine Whether each series is divergent, conditionally convergent, or absolutely convergent: 00 n 1 (n + l)! _ n! .a. :jéf—l) + m 00 1)n+1 71’ l b.2—1ni3tan(4+n). 3 H 3 ( 5 points each). Decide Whether the following inﬁnite series converge or diverge: 20103;) SH” 4a (6 points}. Consider the curve with polar equation 7" : 1 + 2 cos(6). Express in terms of deﬁnite integrals the area inside the small loop. [The problem was accompanied by a small graph of the curve, produced by Mathematica] 4b (6 points). Find the slope of the line tangent to the polar curve 7“ = 1 + 2 c0509) at the point with 9 = 7r/2. 5a {5 points ) Express in terms of deﬁnite integrals the length of the entire curve 7" = l + 2cos(6) (both loops). . What function [\DII—I 5b (7 points). Suppose that f(.’L' —; ans-n for all 1' such that |;1:| 3 :0 DC has Taylor series E nzanasn'!’ n=2 ...
View Full Document

• Spring '08
• WILKENING

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern