# User contributions

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- 22:55, 22 November 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n) (current)
- 22:55, 22 November 2017 (diff | hist) . .
**(+1,708)** . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Solution 1 (Created page with "To find the limit of the sequence <math> \{ \ln(\sin\frac{1}{n}) + \ln(2n)\}, </math> we'll need to evaluate <math> \lim_{n \rightarrow \infty} [\ln(\sin\frac{1}{n}) + \ln(2...") - 00:28, 20 November 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)
- 00:28, 20 November 2017 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 3 (current)
- 00:27, 20 November 2017 (diff | hist) . . (+74) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 3 (Created page with "If you get stuck when evaluating a limit, try considering L'Hopital's rule")
- 00:20, 20 November 2017 (diff | hist) . . (-88) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 2 (current)
- 00:17, 20 November 2017 (diff | hist) . . (+141) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 2 (Created page with "Recall that <math> \lim_{n \rightarrow \infty} (f(n) + g(n)) = \lim_{n \rightarrow \infty} f(n) + \lim_{n \rightarrow \infty} g(n) </math>")
- 00:16, 20 November 2017 (diff | hist) . . (+116) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 1 (Created page with "To find the limit of the sequence <math> \{{a_n}\} </math>, evaluate <math> \lim_{n \rightarrow \infty} a_n </math>") (current)
- 00:11, 20 November 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l) (current)
- 00:10, 20 November 2017 (diff | hist) . . (+227) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Hint 1 (Created page with "Use the fact that <math> \sum_{k=n}^{\infty} a_k = \sum_{k=0}^{\infty} a_k - \sum_{k=0}^{n-1} a_k </math> to separate the series into two series you can calculate: an infi...") (current)
- 00:05, 20 November 2017 (diff | hist) . . (+27) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Solution 1 (current)
- 00:04, 20 November 2017 (diff | hist) . .
**(+1,279)** . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Solution 1 (Created page with "We can expand our series into two series. <math> \sum_{k=7}^{\infty} (\frac{1}{8})^k = \sum_{k=0}^{\infty} (\frac{1}{8})^k - \sum_{k=0}^{6} (\frac{1}{8})^k </math> The first...") - 02:46, 11 November 2017 (diff | hist) . . (+92) . . N User:ChongHeeonPark (Created page with "Hi! I'm a third year undergraduate specializing in Physics and I'm a contributor to the MER.") (current)
- 02:34, 11 November 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06 (current)
- 02:33, 11 November 2017 (diff | hist) . . (-17) . . Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Solution 1 (current)
- 02:32, 11 November 2017 (diff | hist) . .
**(+1,146)** . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Solution 1 (Created page with "Like the hint suggests, we need to change the order of integration. First, we must begin by setting up the new bounds. We can begin by drawing the domain of integration. <ma...") - 01:51, 11 November 2017 (diff | hist) . . (+220) . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Hint 1 (Created page with "The way the integral is set up, it requires you integrate for <math> e^{y^2} </math> with respect to <math> y </math> first. This is a difficult integral to solve so you shoul...") (current)
- 01:46, 11 November 2017 (diff | hist) . . (+65) . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Statement (Created page with "Evaluate <math> \int_{-1}^{0} \int_{-2}^{2x} e^{y^2}dydx </math>") (current)
- 01:39, 11 November 2017 (diff | hist) . . (+1) . . m Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Statement (current)
- 01:39, 11 November 2017 (diff | hist) . . (+180) . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (b)/Statement (Created page with "This question is about the integral <math> \int_{0}^{1} \int_{\sqrt{3}y}^{\sqrt{4-y^2}} \ln(1+x^2+y^2) dxdy </math> (b) Evaluate the integral by transforming to polar coordi...") (current)
- 01:38, 11 November 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a) (current)
- 01:37, 11 November 2017 (diff | hist) . .
**(+881)** . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Solution 1 (Created page with "We have to start by drawing the following curves to see the domain of integration <math> (1) \quad y = 0 </math> <math> (2) \quad y = 1 </math> <math> (3) \quad x = \sqr...") (current) - 01:20, 11 November 2017 (diff | hist) . . (+15) . . Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Hint 1 (current)
- 01:20, 11 November 2017 (diff | hist) . . (+107) . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Hint 1 (Created page with "The bounds tell us that <math> 0 \leq y \leq 1 </math> <math> \sqrt{3}y \leq x \leq \sqrt{4-y^2} </math>")
- 00:54, 11 November 2017 (diff | hist) . . (+153) . . N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Statement (Created page with "This question is about the integral <math> \int_{0}^{1} \int_{\sqrt{3}y}^{\sqrt{4-y^2}} \ln(1+x^2+y^2) dxdy </math> a) Sketch the domain of integration")
- 00:35, 11 November 2017 (diff | hist) . .
**(+718)** . . N Science:Math Exam Resources/Courses/MATH317/April 2016/Question 01 (a) (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...") (current) - 00:39, 31 October 2017 (diff | hist) . . (+109) . . N Thread:Science talk:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Improve hints/reply (Reply to Improve hints) (current)
- 00:36, 31 October 2017 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 1 (current)
- 00:36, 31 October 2017 (diff | hist) . . (+54) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 1
- 00:35, 31 October 2017 (diff | hist) . . (-48) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 2 (Blanked the page)
- 19:51, 25 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 03 (a)
- 19:45, 25 October 2017 (diff | hist) . .
**(+1,074)** . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 03 (a)/Solution 1 (Created page with "<math> f(x,y) = (x-1)^2 + (y+1)^2 </math> <math> g(x,y) = x^2 + y^2 = 4 </math> <math> f_x = 2x - 2 </math> <math> f_y = 2y + 2 </math> <math> g_x = 2x </math> <math>...") - 19:12, 25 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)
- 19:11, 25 October 2017 (diff | hist) . .
**(+1,093)** . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Solution 1 (Created page with "First, let's get rid of all the <math> e^x </math> by making a substitution <math> u = e^x </math> <math> du = e^x dx </math> <math>\int\frac{e^x}{(e^x+1)(e^x-3)}\, dx = \...") - 18:48, 25 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (g)
- 18:47, 25 October 2017 (diff | hist) . . (+450) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (g)/Solution 1 (Created page with "<math> F(x) - F(a) = \int_{a}^{x}f(t)dt </math> Note: <math> F(a) </math> is just a constant! and <math> \frac{d}{dx}(F(x) - F(a)) = f(x) </math> In the same fashion, <m...")
- 18:22, 25 October 2017 (diff | hist) . . (+81) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (g)/Hint 1 (current)
- 18:21, 25 October 2017 (diff | hist) . . (+40) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (g)/Hint 1 (Created page with "Use the fundamental theorem of calculus.")
- 18:14, 25 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (m)
- 18:13, 25 October 2017 (diff | hist) . .
**(+555)** . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (m)/Solution 1 (Created page with "<math> \frac{dy}{dt} = e^{\frac{y}{3}}\cos(t) </math> <math> e^{-\frac{y}{3}}dy = \cos(t)dt </math> <math> \int e^{-\frac{y}{3}}dy = \int \cos(t)dt </math> <math> -3e^{-\f...") - 18:01, 25 October 2017 (diff | hist) . . (+42) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (m)/Hint 1 (Created page with "Try the method of separation of variables.") (current)
- 17:56, 25 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (k)
- 17:56, 25 October 2017 (diff | hist) . . (+45) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (k)/Hint 1 (Created page with "Try a substitution to simplify the integrand.") (current)
- 17:55, 25 October 2017 (diff | hist) . . (+1) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (k)/Solution 1
- 17:55, 25 October 2017 (diff | hist) . . (+362) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (k)/Solution 1 (Created page with "Substitute <math> u = x^5 - 1 </math> <math> \frac{du}{5} = x^4 dx </math> We get <math> \int_{0^5-1}^{1^5-1} \frac{1}{u} du = \int_{-1}^{0} \frac{1}{u}du = -\int_{-1}^{...")
- 23:43, 21 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH200/December 2012/Question 07 (a)/Statement (current)
- 09:31, 20 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)
- 09:27, 20 October 2017 (diff | hist) . . (+48) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 2 (Created page with "Partial fractions might be helpful in this case!")
- 09:27, 20 October 2017 (diff | hist) . . (+58) . . N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 1 (Created page with "Try to get the integrand to a form that you can integrate.")
- 00:32, 20 October 2017 (diff | hist) . . (0) . . Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (j)

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