MTH240 - Term Test 3 - 2010 Winter

/ Math123FallTEast - MX Jalan - X e A Secure | https://bbcsulb.desirežlearn.com/dz//le/content/4041/4/viewcontent/4441994/View * @ : # Apps Pearson Sign In B Free Office 365(use fie D offices Hurs Fall-201 Y Question involving ar % Assignment (o -- Mat Q Fevica Cuestiors: CE Q Program Design &D CSI-117 midterm Flus Pctween the Panels: Math 123 - Exam 3 (Sample 1) 1. Determine whether the sequence converges or diverges. If it converges, find the limit. _ 3n - n (b) {1, -34-, ...} (e) {V3, V3/3, 3/3/3, ...} (a) on -2n + n 2. Determine whether the series converges or diverges. If it converges, find the sum. ( #1 () È 3. (a) Find the sum of the first 100 terms for the sequence I , and then find the sum s. Ln2 + 4n +3 n=1' (b) Express 0,1234 = 0.123423234... as a ratio of integers. 4. (a) The function f(x) = -1.1 Inx satisfies the hypothesis of the integral test (i.e., it is continuous, positive, and decreasing on [2, x)). Apply the integral test to determine if E converges or diverges. Sni. (b) Apply an appropriate test to determine whether converges or diverges. 5. Determine whether the series converges or diverges by applving an appropriate test. O P - + + 1 1 : 0 Type here to search рон в резема оо : » Ramna g« E 11:10 PM = - 11/21/2012

T-Mobile 5:55 PM Final Practice.pdf FREE RESPONSE I. Find e area of the regioe completely enclosod by the graphs of y-xand-x+2. 2. Use the disk method to find the volume of the solid peneraled if the region bounded by the graphs ob y-2x y-0,x-0and-5and is sevolved abou the x-axis 3. Use the shell method to find the volume of the solid gencratod by revolving the repion bounded by the graphs of y-x-O, about the y axis 4 LetN. Use u-substituationo evalasar dos A epresent Wite your answer s a complete sentence. S. Find the are-length of the curve )over the intervalo, andexpress the result in as simple a form as possible 6, Evaluate the given Trigonometrie Integral -dr or juan x.tanxsce.adr 7. Use anappropriate trig substitution so evaluate or 8. Use Integration by Parts to evaluate the given innegral f(x'-3x+1)- mdx 9. Use Partial Fractions to evaluate the given integral: r+4x 10. Use L'Hog ital's Rulewevaluate thc limit lil- 11. Use the Ratio or Root Test to determine whether or not the series converges: +2n) 2. Find the first four non-zero terms of the MacLaurin series for the function x)- 13, Determine the divergence, conditional convergence, or absolute convergence of of Σ 4) Ink(x-4. Σα.ao 14. Find the radius of convergence 15. Given the radius of convergence, find the interval of convergence of Open With Print