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28 January 2026
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N 00:53 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (a) 3 changes history +718 [AnaMucalica (3×)] | |||
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00:01 (cur | prev) +718 AnaMucalica talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | |||
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00:53 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (b) 2 changes history 0 [AnaMucalica (2×)] | |||
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| N 00:42 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (b)/Solution 1 diffhist +1,062 AnaMucalica talk contribs (Created page with "We first recognize that the denominator can be factored as follows <math display="block"> x^2+3x+2 = (x+1)(x+2).</math> Now, in order to simplify this expression, we can use partial fraction decomposition, i.e., we want to find <math> A, B</math> so that <math display="block"> \frac{5x+8}{(x+1)(x+2)} = \frac{A}{x+1} + \frac{B}{x+2}.</math> Since the right-hand side is equal to <math> \frac{A(x+2) + B(x+1)}{(x+1)(x+2)}</math>, we must have <math> 5x+8 = A(x+2) + B(x+1) =...") | ||||
| N 00:36 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (c) diffhist +718 AlanGetz talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | ||||
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00:32 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a) 3 changes history 0 [AlanGetz (3×)] | |||
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| N 00:31 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Solution 1 diffhist +458 AlanGetz talk contribs (Created page with "First, use linearity if the integral to write <math display="block"> \begin{align} \int_0^3 (f(x) g(x) )dx = \int_0^3 f(x) dx + \int_0^3 g(x) dx. \end{align} </math> Next, we write <math> \int_0^3 f(x) dx = \int_0^5 f(x) dx -\int_3^5 f(x) dx</math> and use the given values of the integrals to compute <math display="block"> \begin{align} \int_0^3 (f(x) g(x) )dx = \int_0^5 f(x) dx -\int_3^5 f(x) dx + \int_0^3 g(x) dx = 3-2+7=8. \end{align} </math>") | ||||
| N 00:28 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (b)/Hint 1 diffhist +176 AnaMucalica talk contribs (Created page with "Recall the method of partial fraction decomposition: try to find <math> A, B</math> so that <math display="block"> \frac{5x+8}{x^2+3x+2} = \frac{A}{x+1} + \frac{B}{x+2}.</math>") | ||||
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N 00:25 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (a)/Solution 1 2 changes history +414 [AnaMucalica (2×)] | |||
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00:25 (cur | prev) +5 AnaMucalica talk contribs | ||||
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00:23 (cur | prev) +409 AnaMucalica talk contribs (Created page with "We consider the following <math> u </math>-substitution: <math> u = \sin x,\;\rm{d}u=\cos x\rm{dx} </math>. The integral then becomes <math display="block"> \int \cos x \sqrt{\sin x}\mathrm{d}x = \int u^{1/2}\mathrm{d}u = \frac{2}{3} u^{3/2}+C. </math> Substituting <math> u = \sin x </math> back we get <math display="block"> \int \cos x \sqrt{\sin x}\mathrm{d}x =\frac{2}{3} \sin^{3/2} (x)+C. </math>") | |||
| N 00:20 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Hint 1 diffhist +249 AlanGetz talk contribs (Created page with "Recall that for any integrable function <math> h(x) </math> defined on an interval <math> (a,c) </math>, and any <math> a < b < c </math>, we have that <math> \begin{align} \int_a^c h(x) dx = \int_a^b h(x) dx + \int_b^c h(x) dx. \end{align} </math>") | ||||
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N 00:11 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (c) 2 changes history +718 [AnaMucalica (2×)] | |||
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00:04 (cur | prev) +718 AnaMucalica talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | |||
| N 00:10 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (c)/Statement diffhist +152 AnaMucalica talk contribs (Created page with "Compute each integral. Simplify your final answers. <math display="block"> \begin{align} \int \frac{1}{x^2\sqrt{1+x^2}}\;{\rm{d}}x. \end{align} </math>") | ||||
| N 00:09 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (b)/Statement diffhist +148 AnaMucalica talk contribs (Created page with "Compute each integral. Simplify your final answers. <math display="block"> \begin{align} \int \frac{5x+8}{x^2+3x+2}\;{\rm{d}}x. \end{align} </math>") | ||||
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N 00:08 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 (a)/Statement 2 changes history +146 [AnaMucalica (2×)] | |||
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00:08 (cur | prev) −5 AnaMucalica talk contribs | ||||
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00:07 (cur | prev) +151 AnaMucalica talk contribs (Created page with "Compute each integral. Simplify your final answers. <math display="block"> \begin{align} F(x)=\int \cos x\sqrt{\sin x}\;{\rm{d}}x. \end{align} </math>") | |||
| N 00:08 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a)/Statement diffhist +274 AlanGetz talk contribs (Created page with "Let <math> f(x) </math> and <math> g(x) </math> be integrable functions. If <math display="block"> \begin{align} \int_3^5 f(x)dx = 2, \ \ \int_0^5 f(x) dx = 3, \ \ \int_0^3 g(x) dx = 7, \end{align} </math> then find and simplify <math> \int_0^3 (f(x) + g(x)) dx </math>.") | ||||
27 January 2026
| N 23:56 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 (a) diffhist +718 AlanGetz talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | ||||
| N 23:51 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01/Statement diffhist +179 AlanGetz talk contribs (Created page with "Let <math> f(x) </math> and <math> g(x) </math> be integrable functions. If <math display="block"> \begin{align} F(x)=\int_0^{x^2}\frac{4-t}{1+\cos^2(t)}dt. \end{align} </math>") | ||||
| N 23:47 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 02 diffhist +718 AnaMucalica talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | ||||
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N 23:39 | Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 01 2 changes history +718 [AnaMucalica; AlanGetz] | |||
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23:32 (cur | prev) +718 AnaMucalica talk contribs (Created page with "<!-- FLAGS SUMMARY --> <!-- first letter is for status: C=content to add, R=to review, QB=reviewed as bad quality, QG = reviewed as good quality --> <!-- second letter is for object: Q=question statement, H=hint, S=solution, T=tags --> <!-- for more information see Science:MER/Flags --> <!-- WRITE FLAGS BETWEEN HERE --> Category:MER CQ flagCategory:MER CH flagCategory:MER CS flagCategory:MER CT flag <!-- AND HERE --> <!-- TAGS SUMMARY --> <!-- To see the...") | |||
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23:33 | Asta (agentic AI by Ai2) 3 changes history +200 [DeanGiustini (3×)] | |||
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23:33 (cur | prev) +6 DeanGiustini talk contribs (→References) | ||||
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| 23:20 | Moara.io diffhist +406 DeanGiustini talk contribs (→References) | ||||
| N 23:06 | Science:Math Exam Resources/Courses/MATH101 A/April 2025 diffhist +349 AnaMucalica talk contribs (Created page with "{{MER Exam page|creation_box=true}} <!-- Remove comment to show in progress exam to non-contributor (initially hidden to avoid frustration looking at pages without content Category:MER Exam IP flag --> <!-- Remove IP flag and comment when the exam is completely done and quality good Category:MER Exam QG flag --> Category:MER Exam Page") | ||||
| 22:21 | LIBR535SignupWk5 diffhist −13 AnikaEscher talk contribs | ||||
| 22:06 | NSS Seminar diffhist +20 NguyenPhongHoang talk contribs | ||||
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20:48 | User:DeanGiustini 11 changes history −1 [DeanGiustini (11×)] | |||
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| 20:47 | Preface to the KS and AI Search Wiki diffhist −1 DeanGiustini talk contribs | ||||
| 20:46 | Knowledge Synthesis (KS) & AI Search Wiki 2026 diffhist 0 DeanGiustini talk contribs | ||||