# User contributions for AiliShao

#### 19 April 2018

- 04:1904:19, 19 April 2018 diff hist +405 Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1 No edit summary
- 04:1104:11, 19 April 2018 diff hist +20 Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1 No edit summary
- 04:0704:07, 19 April 2018 diff hist −20 Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1 No edit summary
- 03:5803:58, 19 April 2018 diff hist +20 Science:Math Exam Resources/Courses/MATH101/April 2012/Question 04 (b)/Solution 1 No edit summary

#### 12 April 2018

- 01:2001:20, 12 April 2018 diff hist +1 Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 03 (a) No edit summary current
- 01:1501:15, 12 April 2018 diff hist +1 Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 02 No edit summary current

#### 11 April 2018

- 06:5006:50, 11 April 2018 diff hist −1 Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b) No edit summary current
- 06:5006:50, 11 April 2018 diff hist −1 Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1 No edit summary current
- 06:5006:50, 11 April 2018 diff hist +3 Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1 No edit summary
- 06:4906:49, 11 April 2018 diff hist −53 Science:Math Exam Resources/Courses/MATH220/April 2005/Question 03 (b)/Solution 1 No edit summary
- 06:3406:34, 11 April 2018 diff hist −1 Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 08 No edit summary
- 06:3406:34, 11 April 2018 diff hist +9 Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 08/Solution 1 No edit summary
- 06:2306:23, 11 April 2018 diff hist −1 Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 No edit summary current
- 06:1706:17, 11 April 2018 diff hist −2 Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29 No edit summary
- 06:1706:17, 11 April 2018
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**+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..." - 06:0106:01, 11 April 2018 diff hist +2 Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 29/Hint 2 No edit summary
- 06:0106:01, 11 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."

#### 10 April 2018

- 05:2305:23, 10 April 2018 diff hist +60 Science:Math Exam Resources/Courses/MATH105/April 2016/Question 06/Solution 1 No edit summary current

#### 30 March 2018

- 00:0600:06, 30 March 2018 diff hist +1 Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 No edit summary
- 00:0600:06, 30 March 2018 diff hist −2 Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19 No edit summary current
- 00:0500:05, 30 March 2018
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**+593** Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 No edit summary

#### 29 March 2018

- 23:3823:38, 29 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 19/Solution 1 No edit summary
- 23:3423:34, 29 March 2018 diff hist −2 Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 17 No edit summary
- 23:3323:33, 29 March 2018
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**+1,116** Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 17/Solution 1 No edit summary - 22:2922:29, 29 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH104/December 2016/Question 11 (d) No edit summary
- 22:2922:29, 29 March 2018
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**+1,289** Science:Math Exam Resources/Courses/MATH104/December 2016/Question 11 (d)/Solution 1 No edit summary - 21:2821:28, 29 March 2018
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**+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 March 2018

- 04:5904:59, 21 March 2018 diff hist +7 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Solution 1 No edit summary current
- 04:5804:58, 21 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d) No edit summary
- 04:5704:57, 21 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>"
- 04:5404:54, 21 March 2018 diff hist +6 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (d)/Hint 1 No edit summary
- 04:5304:53, 21 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>"
- 04:4204:42, 21 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (b) No edit summary
- 04:4204:42, 21 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
- 04:3704:37, 21 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
- 04:2604:26, 21 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (a) No edit summary
- 04:2604:26, 21 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>"
- 04:2404:24, 21 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."
- 04:1904:19, 21 March 2018 diff hist +4 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d)/Hint 1 No edit summary
- 04:1904:19, 21 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..."
- 04:1304:13, 21 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>."
- 03:4303:43, 21 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (d) No edit summary
- 03:4103:41, 21 March 2018 diff hist +3 Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 21/Solution 1 No edit summary current
- 03:3803:38, 21 March 2018 diff hist +7 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c)/Solution 1 No edit summary current

#### 20 March 2018

- 21:5121:51, 20 March 2018
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**+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>..." - 21:3321:33, 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
- 21:2721:27, 20 March 2018 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (c) No edit summary
- 21:2421:24, 20 March 2018 diff hist +39 Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (b)/Hint 1 No edit summary current
- 21:2321:23, 20 March 2018 diff hist +247 N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (b)/Solution 1 Created page with "Following the hint, we divide both the top and the bottom by <math> x-2</math> to get <math>\lim_{x\to 2}\frac{x^2-3x+2}{x-2}=\lim_{x\to 2}\frac{(x-1)(x-2)}{x-2}=\lim_{x\to..." current
- 21:1821:18, 20 March 2018 diff hist +144 N Science:Math Exam Resources/Courses/MATH110/April 2016/Question 04 (b)/Hint 1 Created page with "If <math> \lim_{t\to c} \frac{f(t)}{g(t)}</math> approaches <math> \frac{0}{0} </math> , try dividing the top and bottom by <math> t -c.</math>"