# User contributions

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- 21:23, 18 April 2018 (diff | hist) . . (+254) . . N Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Hint 3 (Created page with "Recall that a series <math>\sum_{n=0}^{\infty} a_n </math> converges absolutely if the series of the absolute values, <math> \sum_{n=0}^{\infty} |a_n| </math> converges. A se...")
- 21:20, 18 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b) (current)
- 21:20, 18 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)
- 21:19, 18 April 2018 (diff | hist) . . (+405) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1
- 21:11, 18 April 2018 (diff | hist) . . (+20) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1
- 21:07, 18 April 2018 (diff | hist) . . (-20) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1
- 20:58, 18 April 2018 (diff | hist) . . (+20) . . Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1
- 18:20, 11 April 2018 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 03 (a) (current)
- 18:15, 11 April 2018 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 02 (current)
- 23:50, 10 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b) (current)
- 23:50, 10 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1 (current)
- 23:50, 10 April 2018 (diff | hist) . . (+3) . . Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1
- 23:49, 10 April 2018 (diff | hist) . . (-53) . . Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1
- 23:34, 10 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 08
- 23:34, 10 April 2018 (diff | hist) . . (+9) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 08/Solution 1
- 23:23, 10 April 2018 (diff | hist) . . (-1) . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 (current)
- 23:17, 10 April 2018 (diff | hist) . . (-2) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29
- 23:17, 10 April 2018 (diff | hist) . .
**(+796)** . . N Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29/Solution 2 (Created page with "Following the second hint, we find a vector <math> \textbf{u} </math> orthogonal to <math> \textbf{v} </math> such that <math>\| \textbf{u}\|=\|\textbf{v}\|.</math> By inspec...") - 23:01, 10 April 2018 (diff | hist) . . (+2) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29/Hint 2
- 23:01, 10 April 2018 (diff | hist) . . (+143) . . N Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29/Hint 2 (Created page with "Consider a vector orthogonal to <math>\textbf{v}</math> with the same length, call it<math> \textbf{u}</math>, and then sum the two vectors up.")
- 22:23, 9 April 2018 (diff | hist) . . (+60) . . Science:Math Exam Resources/Courses/MATH105/April 2016/Question 06/Solution 1 (current)
- 17:06, 29 March 2018 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1
- 17:06, 29 March 2018 (diff | hist) . . (-2) . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19 (current)
- 17:05, 29 March 2018 (diff | hist) . .
**(+593)** . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 - 16:38, 29 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1
- 16:34, 29 March 2018 (diff | hist) . . (-2) . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 17
- 16:33, 29 March 2018 (diff | hist) . .
**(+1,116)** . . Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 17/Solution 1 - 15:29, 29 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH104/December 2016/Question 11 (d)
- 15:29, 29 March 2018 (diff | hist) . .
**(+1,289)** . . Science:Math Exam Resources/Courses/MATH104/December 2016/Question 11 (d)/Solution 1 (current) - 14:28, 29 March 2018 (diff | hist) . .
**(+1,202)** . . N Science:Math Exam Resources/Courses/MATH104/December 2016/Question 11 (d)/Hint 1 (Created page with "To produce an accurate sketch of a given function <math>f</math>, we may consider the following steps: # Find the domain of <math> f</math>. Generally, we assume that the doma...") (current) - 21:59, 20 March 2018 (diff | hist) . . (+7) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Solution 1 (current)
- 21:58, 20 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)
- 21:57, 20 March 2018 (diff | hist) . . (+168) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Solution 1 (Created page with "Following the hint, we have <math> f'(x)=\frac{x^2-(x-1)2x}{(x^2)^2}=\frac{2x-x^2}{x^4}=\frac{2-x}{x^2}.</math> Thus, <math>\color{blue} f'(x)=\frac{2-x}{x^2}.</math>")
- 21:54, 20 March 2018 (diff | hist) . . (+6) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Hint 1
- 21:53, 20 March 2018 (diff | hist) . . (+142) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Hint 1 (Created page with "Recall the following '''Quotient Rule''': <br /> <math>D\left(\frac{f(x)}{g(x)}\right)=\frac{g(x)\cdot Df(x)-f(x)\cdot Dg(x)}{g(x)^2}.</math>")
- 21:42, 20 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (b)
- 21:42, 20 March 2018 (diff | hist) . . (+288) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (b)/Solution 1 (Created page with "Following the hint, when <math> f(x)=0</math>, we have <math> \frac{x-1}{x^2}=0</math>. Solving for <math>x</math> , we get <math> x=1.</math> When <math> x=0, f(x)=\frac{x-1...") (current)
- 21:37, 20 March 2018 (diff | hist) . . (+176) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (b)/Hint 1 (Created page with "Recall that x-intercept is the value of <math>x</math> when <math>f(x)=0</math> while the y-intercept is the value of <math> f(x)</math> when <math>x</math> is <math>0 </math>.") (current)
- 21:26, 20 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (a)
- 21:26, 20 March 2018 (diff | hist) . . (+162) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (a)/Solution 1 (Created page with "The domain of <math>f(x)</math> is those x-values for the bottom of <math> f(x) </math> to be non-zero. That is, the domain is <math>\color{blue} x\neq 0.</math>")
- 21:24, 20 March 2018 (diff | hist) . . (+50) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (a)/Hint 1 (Created page with "Recall the definition of the domain of a function.")
- 21:19, 20 March 2018 (diff | hist) . . (+4) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d)/Hint 1
- 21:19, 20 March 2018 (diff | hist) . . (+216) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d)/Solution 1 (Created page with "Following the hint, as <math> x\to 5^{-}, (x-5)^2\to 0, x\to 5^{-}, </math> so <math>\lim_{x\to 5^{-}} \frac{x}{(x-5)^2}=\infty.</math> Thus, the limit does not exists, and...")
- 21:13, 20 March 2018 (diff | hist) . . (+105) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d)/Hint 1 (Created page with "Note that as <math> x\to 5^{-} </math>, the bottom tends to zero while the top tends to <math> 5</math>.")
- 20:43, 20 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d)
- 20:41, 20 March 2018 (diff | hist) . . (+3) . . Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 21/Solution 1 (current)
- 20:38, 20 March 2018 (diff | hist) . . (+7) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c)/Solution 1 (current)
- 14:51, 20 March 2018 (diff | hist) . .
**(+533)** . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c)/Solution 1 (Created page with "Note that <br /> <math> \lim_{x\to \infty} (x+1)(x+3)e^{-x}=\lim_{x\to \infty} \frac{(x+1)(x+3)}{e^{x}}</math> with both the top and the bottom approach to infinity as <math>...") - 14:33, 20 March 2018 (diff | hist) . . (+315) . . N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c)/Hint 1 (Created page with "Recall the <math> \frac{\infty}{\infty} </math> L'Hopital's Rule:<br /> If <math> \lim_{x\to a}f(x)=\infty, \lim_{x\to a}g(x)=\infty, </math> and both <math> f </math> and <m...") (current)
- 14:27, 20 March 2018 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c)

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