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15:34, 9 November 2017 ‎009A Sample Midterm 2, Problem 1 Solution (hist | edit) ‎[101 bytes] ‎Kayla Murray (talk | contribs) (Created page with "600px|thumb|center '''Return to Sample Exam'''")
19:10, 4 November 2017 ‎007B Sample Midterm 3, Problem 2 Detailed Solution (hist | edit) ‎[3,228 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Compute the following integrals: (a) <math>\int x^2\sin (x^3) ~dx</math> (b) <math>\int_{-\frac{\pi}...")
19:10, 4 November 2017 ‎007B Sample Midterm 3, Problem 2 (hist | edit) ‎[447 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Compute the following integrals: (a) <math>\int x^2\sin (x^3) ~dx</math> (b) <math>\int_{-\frac{\pi}...")
19:08, 4 November 2017 ‎007B Sample Midterm 3, Problem 1 Detailed Solution (hist | edit) ‎[1,970 bytes] ‎Kayla Murray (talk | contribs) (Created page with "right|375px Divide the interval <math style="vertical-align: -5px">[0,\pi]</math> into four subintervals of equal leng...")
19:08, 4 November 2017 ‎007B Sample Midterm 3, Problem 1 (hist | edit) ‎[510 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Divide the interval <math style="vertical-align: -5px">[0,\pi]</math> into four subintervals of equal length <math>\frac{\pi}{4}</math> &...")
19:07, 4 November 2017 ‎007B Sample Midterm 2, Problem 2 Detailed Solution (hist | edit) ‎[4,139 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Evaluate (a) <math style="vertical-align: -14px">\int_1^2\bigg(2t+\frac{3}{t^2}\bigg)\bigg(4t^2-\frac{5}{t}\bigg)~dt</math> <s...")
19:06, 4 November 2017 ‎007B Sample Midterm 2, Problem 2 (hist | edit) ‎[507 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Evaluate (a) <math style="vertical-align: -14px">\int_1^2\bigg(2t+\frac{3}{t^2}\bigg)\bigg(4t^2-\frac{5}{t}\bigg)~dt</math> <s...")
19:05, 4 November 2017 ‎007B Sample Midterm 2, Problem 1 Detailed Solution (hist | edit) ‎[4,929 bytes] ‎Kayla Murray (talk | contribs) (Created page with " This problem has three parts: (a) State both parts of the fundamental theorem of calculus. (b) Compute <math...")
19:05, 4 November 2017 ‎007B Sample Midterm 2, Problem 1 (hist | edit) ‎[595 bytes] ‎Kayla Murray (talk | contribs) (Created page with " This problem has three parts: (a) State the both parts of the fundamental theorem of calculus. (b) Compute <...")
19:03, 4 November 2017 ‎007B Sample Midterm 1, Problem 3 Detailed Solution (hist | edit) ‎[3,646 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the indefinite and definite integrals. (a) <math>\int x^2\sqrt{1+x^3}~dx</math> (b) <math>\in...")
19:03, 4 November 2017 ‎007B Sample Midterm 1, Problem 3 (hist | edit) ‎[469 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the indefinite and definite integrals. (a) <math>\int x^2\sqrt{1+x^3}~dx</math> (b) <math>\in...")
19:00, 4 November 2017 ‎007B Sample Midterm 1, Problem 1 Detailed Solution (hist | edit) ‎[4,068 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Let <math>f(x)=1-x^2</math>. (a) Compute the left-hand Riemann sum approximation of <math style="vertical-align: -14px">\int...")
18:59, 4 November 2017 ‎007B Sample Midterm 1, Problem 1 (hist | edit) ‎[959 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Let <math style="vertical-align: -5px">f(x)=1-x^2</math>. (a) Compute the left-hand Riemann sum approximation of <math styl...")
18:55, 4 November 2017 ‎009B Sample Midterm 1, Problem 5 Detailed Solution (hist | edit) ‎[2,571 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the integral: ::<math>\int \sin^3x \cos^2x~dx</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |-...")
18:53, 4 November 2017 ‎009B Sample Midterm 1, Problem 4 Detailed Solution (hist | edit) ‎[3,932 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the indefinite and definite integrals. (a) <math>\int x^2 e^x~dx</math> (b) <math>\int_{1}^{...")
18:51, 4 November 2017 ‎009B Sample Midterm 1, Problem 2 Detailed Solution (hist | edit) ‎[3,646 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the indefinite and definite integrals. (a) <math>\int x^2\sqrt{1+x^3}~dx</math> (b) <math>\in...")
18:49, 4 November 2017 ‎009B Sample Midterm 1, Problem 1 Detailed Solution (hist | edit) ‎[4,068 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Let <math>f(x)=1-x^2</math>. (a) Compute the left-hand Riemann sum approximation of <math style="vertical-align: -14px">\int...")
18:45, 4 November 2017 ‎009B Sample Midterm 2, Problem 5 Detailed Solution (hist | edit) ‎[3,278 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Evaluate the integral: ::<math>\int \tan^4 x ~dx</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |- |'''...")
18:44, 4 November 2017 ‎009B Sample Midterm 2, Problem 4 Detailed Solution (hist | edit) ‎[4,525 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Evaluate the integral: ::<math>\int e^{-2x}\sin (2x)~dx</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |...")
18:31, 4 November 2017 ‎009B Sample Midterm 2, Problem 2 Detailed Solution (hist | edit) ‎[4,139 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Evaluate (a) <math style="vertical-align: -14px">\int_1^2\bigg(2t+\frac{3}{t^2}\bigg)\bigg(4t^2-\frac{5}{t}\bigg)~dt</math> <s...")
18:30, 4 November 2017 ‎009B Sample Midterm 2, Problem 1 Detailed Solution (hist | edit) ‎[4,929 bytes] ‎Kayla Murray (talk | contribs) (Created page with " This problem has three parts: (a) State both parts of the fundamental theorem of calculus. (b) Compute <math...")
18:27, 4 November 2017 ‎009B Sample Midterm 3, Problem 4 Detailed Solution (hist | edit) ‎[3,228 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Compute the following integrals: (a) <math>\int x^2\sin (x^3) ~dx</math> (b) <math>\int_{-\frac{\pi}...")
18:24, 4 November 2017 ‎009B Sample Midterm 3, Problem 2 Detailed Solution (hist | edit) ‎[3,339 bytes] ‎Kayla Murray (talk | contribs) (Created page with "State the fundamental theorem of calculus, and use this theorem to find the derivative of ::<math>F(x)=\int_{\cos (x)}^5 \frac{1}{1+u^{10}}~du.</math> {...")
18:22, 4 November 2017 ‎009B Sample Midterm 3, Problem 1 Detailed Solution (hist | edit) ‎[1,970 bytes] ‎Kayla Murray (talk | contribs) (Created page with "right|375px Divide the interval <math style="vertical-align: -5px">[0,\pi]</math> into four subintervals of equal leng...")
18:16, 4 November 2017 ‎009C Sample Midterm 2, Problem 5 Detailed Solution (hist | edit) ‎[5,285 bytes] ‎Kayla Murray (talk | contribs) (Created page with "If <math>\sum_{n=0}^\infty c_nx^n</math> converges, does it follow that the following series converges? (a) <math>\sum...")
18:14, 4 November 2017 ‎009C Sample Midterm 2, Problem 4 Detailed Solution (hist | edit) ‎[6,751 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the radius of convergence and interval of convergence of the series. (a) <math>\sum_{n=1}^\infty n^nx^n</math> <span class=...")
18:13, 4 November 2017 ‎009C Sample Midterm 2, Problem 3 Detailed Solution (hist | edit) ‎[5,816 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Determine convergence or divergence: (a) <math>\sum_{n=1}^\infty (-1)^n \sqrt{\frac{1}{n}}</math> (b) <m...")
18:12, 4 November 2017 ‎009C Sample Midterm 2, Problem 2 Detailed Solution (hist | edit) ‎[2,502 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Determine convergence or divergence: ::<math>\sum_{n=1}^\infty \frac{3^n}{n}</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !F...")
18:11, 4 November 2017 ‎009C Sample Midterm 2, Problem 1 Detailed Solution (hist | edit) ‎[5,409 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate: (a) <math>\lim _{n\rightarrow \infty} \frac{1}{\big(\frac{n-4}{n}\big)^n}</math> (b) <math>\su...")
18:07, 4 November 2017 ‎009C Sample Midterm 1, Problem 5 Detailed Solution (hist | edit) ‎[8,612 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the radius of convergence and interval of convergence of the series. (a) <math>\sum_{n=0}^\infty \sqrt{n}x^n</math> <span c...")
18:06, 4 November 2017 ‎009C Sample Midterm 1, Problem 4 Detailed Solution (hist | edit) ‎[2,609 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Determine the convergence or divergence of the following series. Be sure to justify your answers! ::<math>\sum_{n=1}^\infty \frac{1}{n...")
18:02, 4 November 2017 ‎009C Sample Midterm 1, Problem 3 Detailed Solution (hist | edit) ‎[3,292 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Determine whether the following series converges absolutely, conditionally or whether it diverges. Be sure to ju...")
18:01, 4 November 2017 ‎009C Sample Midterm 1, Problem 2 Detailed Solution (hist | edit) ‎[3,451 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Consider the infinite series <math>\sum_{n=2}^\infty 2\bigg(\frac{1}{2^n}-\frac{1}{2^{n+1}}\bigg).</math> (a) Find an expression f...")
17:58, 4 November 2017 ‎009C Sample Midterm 1, Problem 1 Detailed Solution (hist | edit) ‎[2,852 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Does the following sequence converge or diverge? If the sequence converges, also find the limit of the sequence. <span class="exam"...")
10:54, 3 November 2017 ‎009A Sample Midterm 3, Problem 1 Detailed Solution (hist | edit) ‎[5,418 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the following limits: (a) If <math style="vertical-align: -16px">\lim _{x\rightarrow 3} \bigg(\frac{f(x)}{2x}+1\bigg)=2,</ma...")
10:51, 3 November 2017 ‎009A Sample Midterm 3, Problem 4 Detailed Solution (hist | edit) ‎[3,200 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the derivatives of the following functions. Do not simplify. (a) <math style="vertical-align: -16px">f(x)=\frac{(3x-5)(-x^{-...")
10:49, 3 November 2017 ‎009A Sample Midterm 3, Problem 5 Detailed Solution (hist | edit) ‎[3,916 bytes] ‎Kayla Murray (talk | contribs) (Created page with " Find the derivatives of the following functions. Do not simplify. (a) <math style="vertical-align: -16px">f(x)=\sin\bigg(\frac{x^...")
10:13, 3 November 2017 ‎009A Sample Midterm 2, Problem 5 Detailed Solution (hist | edit) ‎[3,600 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the derivatives of the following functions. Do not simplify. (a) <math style="vertical-align: -5px">f(x)=\tan^3(7x^2+5) </m...")
10:07, 3 November 2017 ‎009A Sample Midterm 2, Problem 3 Detailed Solution (hist | edit) ‎[1,999 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Use the definition of the derivative to find <math>\frac{dy}{dx}</math> for the function <math style="vertical-align: -12px">y=\frac{1+x...")
10:03, 3 November 2017 ‎009A Sample Midterm 2, Problem 1 Detailed Solution (hist | edit) ‎[4,691 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Evaluate the following limits. (a) Find <math style="vertical-align: -14px">\lim _{x\rightarrow 2} \frac{\sqrt{x^2+12}-4}{x-2}</ma...")
08:12, 3 November 2017 ‎007A Sample Midterm 1, Problem 2 Detailed Solution (hist | edit) ‎[4,844 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Consider the following function <math style="vertical-align: -5px"> f:</math> ::<math>f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x...")
08:11, 3 November 2017 ‎007A Sample Midterm 1, Problem 2 (hist | edit) ‎[975 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Consider the following function <math style="vertical-align: -5px"> f:</math> ::<math>f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x...")
08:10, 3 November 2017 ‎007A Sample Midterm 1, Problem 1 Detailed Solution (hist | edit) ‎[5,096 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the following limits: (a) Find <math style="vertical-align: -13px">\lim _{x\rightarrow 2} g(x),</math> provided that &n...")
08:10, 3 November 2017 ‎007A Sample Midterm 1, Problem 1 (hist | edit) ‎[747 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the following limits: (a) Find <math style="vertical-align: -13px">\lim _{x\rightarrow 2} g(x),</math> provided that &n...")
08:00, 3 November 2017 ‎009A Sample Midterm 1, Problem 2 Detailed Solution (hist | edit) ‎[2,139 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Suppose the size of a population at time <math style="vertical-align: 0px">t</math> is given by ::<math>N(t)=\frac{1000t}{5+t},~t\ge 0.</math>...")
07:52, 3 November 2017 ‎009A Sample Midterm 1, Problem 3 Detailed Solution (hist | edit) ‎[4,971 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Consider the following function <math style="vertical-align: -5px"> f:</math> ::<math>f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x...")
07:45, 3 November 2017 ‎009A Sample Midterm 1, Problem 4 Detailed Solution (hist | edit) ‎[3,864 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Let <math style="vertical-align: -5px">y=\sqrt{3x-5}.</math> (a) Use the definition of the derivative to compute <math>\fra...")
07:37, 3 November 2017 ‎009A Sample Midterm 2, Problem 2 Detailed Solution (hist | edit) ‎[2,965 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Let <math style="vertical-align: -5px">y=\sqrt{3x-5}.</math> (a) Use the definition of the derivative to compute <math>\fra...")
07:21, 3 November 2017 ‎009A Sample Midterm 1, Problem 5 Detailed Solution (hist | edit) ‎[3,656 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the derivatives of the following functions. Do not simplify. (a) <math style="vertical-align: -5px">f(x)=\sqrt{x}(x^2+2)</ma...")
07:04, 3 November 2017 ‎009A Sample Midterm 1, Problem 1 Detailed Solution (hist | edit) ‎[5,101 bytes] ‎Kayla Murray (talk | contribs) (Created page with "Find the following limits: (a) Find <math style="vertical-align: -13px">\lim _{x\rightarrow 2} g(x),</math> provided that &n...")

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