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18:44, 2 December 2017 ‎009C Sample Final 3, Problem 3 Detailed Solution (hist | edit) ‎[2,979 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test. ::<math>\sum_{n=1}^{\infty} \frac{n^...")
18:44, 2 December 2017 ‎009C Sample Final 3, Problem 3 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:42, 2 December 2017 ‎009C Sample Final 3, Problem 2 Detailed Solution (hist | edit) ‎[3,449 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Consider the series ::<math>\sum_{n=2}^\infty \frac{(-1)^n}{\sqrt{n}}.</math> (a) Test if the series converges absolutely. Give reason...")
18:42, 2 December 2017 ‎009C Sample Final 3, Problem 2 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:41, 2 December 2017 ‎009C Sample Final 3, Problem 1 Detailed Solution (hist | edit) ‎[6,408 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Which of the following sequences <math style="vertical-align: -5px">(a_n)_{n\ge 1}</math> converges? Which diverges? Give reasons for your answ...")
18:40, 2 December 2017 ‎009C Sample Final 3, Problem 1 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:38, 2 December 2017 ‎009C Sample Final 2, Problem 10 Detailed Solution (hist | edit) ‎[2,777 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the length of the curve given by ::<math>x=t^2</math> ::<math>y=t^3</math> ::<math>0\leq t \l...")
18:38, 2 December 2017 ‎009C Sample Final 2, Problem 10 Solution (hist | edit) ‎[100 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:37, 2 December 2017 ‎009C Sample Final 2, Problem 9 Detailed Solution (hist | edit) ‎[4,269 bytes] ‎Kayla Murray (talk | contribs) (Created page with "A curve is given in polar coordinates by ::<math>r=\sin(2\theta).</math> (a) Sketch the curve. (...")
18:36, 2 December 2017 ‎009C Sample Final 2, Problem 9 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:35, 2 December 2017 ‎009C Sample Final 2, Problem 8 Detailed Solution (hist | edit) ‎[4,406 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find <math>n</math> such that the Maclaurin polynomial of degree <math>n</math> of <math style="vertical-align: -5px">f(x)=\co...")
18:35, 2 December 2017 ‎009C Sample Final 2, Problem 8 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:34, 2 December 2017 ‎009C Sample Final 2, Problem 7 Detailed Solution (hist | edit) ‎[4,891 bytes] ‎Kayla Murray (talk | contribs) (Created page with "(a) Consider the function <math style="vertical-align: -16px">f(x)=\bigg(1-\frac{1}{2}x\bigg)^{-2}.</math> Find the first three terms of its Bin...")
18:33, 2 December 2017 ‎009C Sample Final 2, Problem 7 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:32, 2 December 2017 ‎009C Sample Final 2, Problem 6 Detailed Solution (hist | edit) ‎[3,148 bytes] ‎Kayla Murray (talk | contribs) (Created page with "(a) Express the indefinite integral <math style="vertical-align: -13px">\int \sin(x^2)~dx</math> as a power series. (b) Expr...")
18:31, 2 December 2017 ‎009C Sample Final 2, Problem 6 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:30, 2 December 2017 ‎009C Sample Final 2, Problem 5 Detailed Solution (hist | edit) ‎[3,911 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the Taylor Polynomials of order 0, 1, 2, 3 generated by <math style="vertical-align: -5px">f(x)=\cos(x)</math> at <math style="verti...")
18:29, 2 December 2017 ‎009C Sample Final 2, Problem 5 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:28, 2 December 2017 ‎009C Sample Final 2, Problem 4 Detailed Solution (hist | edit) ‎[4,309 bytes] ‎Kayla Murray (talk | contribs) (Created page with "(a) Find the radius of convergence for the power series ::<math>\sum_{n=1}^{\infty} (-1)^n \frac{x^n}{n}.</math> (b) Find the interval...")
18:27, 2 December 2017 ‎009C Sample Final 2, Problem 4 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:26, 2 December 2017 ‎009C Sample Final 2, Problem 3 Detailed Solution (hist | edit) ‎[3,580 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Determine if the following series converges or diverges. Please give your reason(s). (a) <math>\sum_{n=0}^{\infty} \frac{n!}{(2n)!...")
18:25, 2 December 2017 ‎009C Sample Final 2, Problem 3 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:24, 2 December 2017 ‎009C Sample Final 2, Problem 2 Detailed Solution (hist | edit) ‎[5,065 bytes] ‎Kayla Murray (talk | contribs) (Created page with " For each of the following series, find the sum if it converges. If it diverges, explain why. (a) <math style="vertical-align: -14...")
18:23, 2 December 2017 ‎009C Sample Final 2, Problem 2 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:21, 2 December 2017 ‎009C Sample Final 2, Problem 1 Detailed Solution (hist | edit) ‎[4,317 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Test if the following sequences converge or diverge. Also find the limit of each convergent sequence. (a) <math style="vertical-al...")
18:21, 2 December 2017 ‎009C Sample Final 2, Problem 1 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:18, 2 December 2017 ‎009C Sample Final 1, Problem 10 Detailed Solution (hist | edit) ‎[3,336 bytes] ‎Kayla Murray (talk | contribs) (Created page with "A curve is given in polar parametrically by ::<math>x(t)=3\sin t</math> ::<math>y(t)=4\cos t</math> ::<span class="ex...")
18:17, 2 December 2017 ‎009C Sample Final 1, Problem 10 Solution (hist | edit) ‎[100 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:16, 2 December 2017 ‎009C Sample Final 1, Problem 9 Detailed Solution (hist | edit) ‎[3,115 bytes] ‎Kayla Murray (talk | contribs) (Created page with "right|400px A curve is given in polar coordinates by ::<math>r=\theta</math> ::<math>0\le...")
18:15, 2 December 2017 ‎009C Sample Final 1, Problem 9 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:13, 2 December 2017 ‎009C Sample Final 1, Problem 8 Detailed Solution (hist | edit) ‎[2,648 bytes] ‎Kayla Murray (talk | contribs) (Created page with "A curve is given in polar coordinates by ::<math>r=1+\sin 2\theta</math> ::<math>0\leq \theta \leq 2\pi</math> (a) Sketch the curve. <...")
18:12, 2 December 2017 ‎009C Sample Final 1, Problem 8 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:11, 2 December 2017 ‎009C Sample Final 1, Problem 7 Detailed Solution (hist | edit) ‎[4,114 bytes] ‎Kayla Murray (talk | contribs) (Created page with "A curve is given in polar coordinates by ::<math>r=1+\sin\theta</math> (a) Sketch the curve. (b) Compute <ma...")
18:10, 2 December 2017 ‎009C Sample Final 1, Problem 7 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:09, 2 December 2017 ‎009C Sample Final 1, Problem 6 Detailed Solution (hist | edit) ‎[2,895 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the Taylor polynomial of degree 4 of <math style="vertical-align: -5px">f(x)=\cos^2x</math> at <math>a=\frac{\pi}{4}</math>. <hr> {| class="mw-collaps...")
18:08, 2 December 2017 ‎009C Sample Final 1, Problem 6 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:07, 2 December 2017 ‎009C Sample Final 1, Problem 5 Detailed Solution (hist | edit) ‎[4,393 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Let ::<math>f(x)=\sum_{n=1}^{\infty} nx^n</math> (a) Find the radius of convergence of the power series. (b) Deter...")
18:06, 2 December 2017 ‎009C Sample Final 1, Problem 5 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:05, 2 December 2017 ‎009C Sample Final 1, Problem 4 Detailed Solution (hist | edit) ‎[3,875 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the interval of convergence of the following series. ::<math>\sum_{n=1}^{\infty} (-1)^n \frac{(x+2)^n}{n^2}</math> <hr> {| class="mw-collapsible mw-...")
18:04, 2 December 2017 ‎009C Sample Final 1, Problem 4 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
18:01, 2 December 2017 ‎009C Sample Final 1, Problem 3 Detailed Solution (hist | edit) ‎[3,867 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Determine whether the following series converges or diverges. ::<math>\sum_{n=0}^{\infty} (-1)^n \frac{n!}{n^n}</math> <hr> {| class="mw-collapsible mw-co...")
18:00, 2 December 2017 ‎009C Sample Final 1, Problem 3 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
17:59, 2 December 2017 ‎009C Sample Final 1, Problem 2 Detailed Solution (hist | edit) ‎[2,849 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the sum of the following series: (a) <math>\sum_{n=0}^{\infty} (-2)^ne^{-n}</math> (b) <math>\s...")
17:58, 2 December 2017 ‎009C Sample Final 1, Problem 2 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
17:56, 2 December 2017 ‎009C Sample Final 1, Problem 1 Detailed Solution (hist | edit) ‎[2,523 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Compute (a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math> (b)...")
17:55, 2 December 2017 ‎009C Sample Final 1, Problem 1 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
17:50, 2 December 2017 ‎009B Sample Final 3, Problem 7 Detailed Solution (hist | edit) ‎[2,896 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Does the following integral converge or diverge? Prove your answer! ::<math>\int_1^\infty \frac{\sin^2(x)}{x^3}~dx</math> <hr> {| class="mw-collapsible mw-...")
17:50, 2 December 2017 ‎009B Sample Final 3, Problem 7 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
17:49, 2 December 2017 ‎009B Sample Final 3, Problem 6 Detailed Solution (hist | edit) ‎[6,468 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the following integrals (a) <math>\int \frac{3x-1}{2x^2-x}~dx</math> (b) <math>\int \frac{\sqrt{x+...")
17:48, 2 December 2017 ‎009B Sample Final 3, Problem 6 Solution (hist | edit) ‎[99 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")

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