DOC PREVIEW
WUSTL MATH 132 - m132_E2cSP09

This preview shows page 1-2-3-4-5-6 out of 19 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 19 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Math 132, Spring 2009 - Exam 2NAME:STUDENT ID NUMBER:This exam contains sixteen questions. The first fourteenare multiple choice questions and count for five pointseach. There is no partial credit on these questions, soread each question carefully, check your arithmeticand make sure that you have marked the answer you in-tended to mark. The last two questions, which are eachworth fifteen p oints, require written answers, and somepartial credit might be given. However, no credit will begiven for information that is not germane to the problemat hand. Please make sure to write your name and stu-dent ID number on the pages that include your answersto the last two questions. In fact, you will get onepoint on each of these two questions for writingyour name and ID number legibly.11. Expandx+4(x+1)2by partial fractions.(a)1x+1+x+3(x+1)2(b)2x+1+x+2(x+1)2(c)3x+1+x+1(x+1)2(d)4x+1+x(x+1)2(e)1x+1+3(x+1)2(f)3x+1(g)3(x+1)2(h) impossible since undefined at x = −122. ComputeZ422x3− 2x2− 1x2− x.(a) 12 + ln(2/3).(b) 16 + ln(4).(c) 16 + ln(4) + ln(3).(d) 16 + ln(4/3).(e) 16 + ln(3/4).(f) ∞.(g) −∞.(h)32.33. Which term does NOT appear in the partial fractionsexpansion ofx8+ 3x7− 20x5+ 13x3− x2+ x − 7x2(x + 1)4(x4− 1)(a)Ax2(b)B(x+1)4(c)C(x+1)5(d)Dx(e)Ex+Fx2+1(f)Gx+Hx2−1(g)Jx+1(h)K(x+1)344. Use the Trapezoidal Rule with n = 4 to approximateR20√x2+ x dx.(a) 0.41(b) 0.86(c) 1.27(d) 1.55(e) 2.31(f) 2.72(g) 3.33(h) 3.5455. Use Simpson’s Rule with n = 4 to approximateR20√x2+ x dx.(a) 0.86(b) 1.32(c) 2.75(d) 3.38(e) 3.45(f) 3.54(g) 4.27(h) 4.3466. Find the minimum number of subintervals needed toapproximateR10ex2dx with an error less than 10−4,when using the Trapezoidal Rule.(a) 4(b) 50(c) 63(d) 117(e) 189(f) 224(g) 451(h) 100377. EvaluateR∞1x−11/10dx.(a) 2(b) 10(c) 25(d) 110(e) 1100(f) 1250(g) ∞(h) −∞88. EvaluateZ∞21ln(x)dx(a) Converges, by direct comparison with compari-son function1x2.(b) Diverges, by direct comparison with the compar-ison function1x2.(c) Converges, by direct comparison with the com-parison function ex.(d) Diverges, by direct comparison with the compar-ison function ex.(e) Converges, by direct comparison with the com-parison function1x.(f) Diverges, by direct comparison with the compar-ison function1x.(g) Converges, by direct comparison with the com-parison function e−x.(h) Diverges, by direct comparison with the compar-ison function e−x.99. EvaluateZ∞1dx√e2x− x2(a) Converges, by limit comparison with the compar-ison function1x.(b) Diverges, by limit comparison with the compari-son function1x.(c) Converges, by limit comparison with the compar-ison function1ex.(d) Diverges, by limit comparison with the compari-son function1ex.(e) Converges, by direct comparison with compari-son function1x.(f) Diverges, by direct comparison with the compar-ison function1x.(g) Converges, by direct comparison with the com-parison function1ex.(h) Diverges, by direct comparison with the compar-ison function1ex.1010. EvaluateZ20dxx − 1(a) Diverges to ∞.(b) Diverges to −∞.(c) Diverges but not to −∞ or ∞.(d) 0(e) 1(f) −1(g) 2(h) −21111. The region between the curve y = 2√x, 0 ≤ x ≤ 1,and the x-axis is revolved about the x-axis to gener-ate a solid. Compute the volume of this solid.(a) π/2(b) π(c) 2π(d) 5π/2(e) 5π(f) π2(g) π2/2(h) 16π/151212. Find the volume of the solid generated by revolvingthe region bounded by y = |x| and y = 1 about thex-axis.(a) 4π/3(b) π(c) 2π(d) 5π/2(e) 5π(f) π2(g) π2/2(h) 6.31313. Find the volume of the solid generated by revolvingthe region between x = y2+ 1 and the line x = 2about the line x = 2.(a) π/2(b) π(c) 2π(d) 5π/2(e) 5π(f) π2(g) π2/2(h) 16π/151414. Find the length of the curve given byy = x3/2, 0 ≤ x ≤ 4/3(a) 2/3(b) 4/3(c) 8/3(d) 8/27(e) 9/4(f) 13/4(g) 56/27(h) 128/2715Name: Student ID:15. Use the shell method to find the volume of the solidgenerated by revolving the region bounded byy = 1 + x2/4, 0 ≤ x ≤ 1, and the x-axisabout the line x = −1.16Name: Student ID:16. Find the length of the curve given byx = cos3t, y = sin3t, 0 ≤ t ≤ π/217Name: Student ID:18Name: Student


View Full Document

WUSTL MATH 132 - m132_E2cSP09

Documents in this Course
shapiro1

shapiro1

11 pages

shapiro

shapiro

11 pages

shapiro1

shapiro1

11 pages

shapiro

shapiro

11 pages

Load more
Download m132_E2cSP09
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view m132_E2cSP09 and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view m132_E2cSP09 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?