User contributions for HaJungRachelHan
25 March 2020
- 01:5301:53, 25 March 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(a) No edit summary current
- 01:5201:52, 25 March 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(b) No edit summary current
- 01:5201:52, 25 March 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a) No edit summary current
- 01:5201:52, 25 March 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b) No edit summary current
- 01:5101:51, 25 March 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 12 No edit summary current
- 01:5101:51, 25 March 2020 diff hist +308 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 12/Hint 1 Created page with "If <math> x </math> cm of wire is used to create the triangle, <math> 90- x </math> is used to make the rectangle. Then set up the equation for the perimeter to get expression..." current
- 01:4601:46, 25 March 2020 diff hist +1,364 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 12/Solution 1 Created page with "Denote the position where we cut the wire as <math> x </math>. We construct the triangle with length <math> x </math> and the rectangle with length <math> 90-x </math>. Note..." current
- 00:5700:57, 25 March 2020 diff hist +389 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 12/Statement Created page with "A 90cm piece of wire is used to create an equilateral triangle, and a rectangle that is twice as long as it is wide. Determine whether and where to cut the wire such that the..." current
- 00:5500:55, 25 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 12 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..."
- 00:5400:54, 25 March 2020 diff hist +345 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b)/Solution 1 Created page with "Observe that <math> x = \tan(\theta) </math>. Then we can get the rate in which the distance changes. <math> \begin{align} \frac{dx}{dt} = \sec^2(\theta)\frac{d\theta}{dt}..." current
- 00:4800:48, 25 March 2020 diff hist +217 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b)/Hint 1 Created page with "<math> x </math> is the distance between the point where the shoreline is closest to the light house and where the light hits the shoreline. What is the relationship between <..." current
- 00:3700:37, 25 March 2020 diff hist +79 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b)/Statement No edit summary current
- 00:3700:37, 25 March 2020 diff hist +79 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a)/Statement No edit summary current
- 00:3600:36, 25 March 2020 diff hist +210 N File:Screen Shot 2020-03-21 at 12.04.29 AM.png User created page with UploadWizard current Tag: Upload Wizard
21 March 2020
- 07:2107:21, 21 March 2020 diff hist +528 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b)/Statement Created page with "A lighthouse is 1 km from the shore. Its beam rotates, taking 20 seconds for one full revolution. In the diagram at right, the dotted line is the beam of light; the solid line..."
- 07:1807:18, 21 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(b) 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..."
- 07:1607:16, 21 March 2020 diff hist +74 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a)/Solution 1 Created page with "<math> \frac{d\theta}{dt} = \frac{2\pi}{20sec} = \frac{\pi}{10sec} </math>" current
- 07:1507:15, 21 March 2020 diff hist +62 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a)/Hint 1 Created page with "Note that the beam rotates one full revolution per 20 seconds." current
- 07:0907:09, 21 March 2020 diff hist +366 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(a)/Statement Created page with "A lighthouse is 1 km from the shore. Its beam rotates, taking 20 seconds for one full revolution. (a) In the diagram at right, the dotted line is the beam of light; the soli..."
- 06:5906:59, 21 March 2020 diff hist +718 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10 No edit summary current
- 06:5806:58, 21 March 2020 diff hist −696 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10 Blanked the page Tag: Blanking
- 06:5506:55, 21 March 2020 diff hist −22 Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10 No edit summary
- 06:5206:52, 21 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10(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..."
- 06:3706:37, 21 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 10 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..."
20 March 2020
- 06:1306:13, 20 March 2020 diff hist +226 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(b)/Solution 1 Created page with "At point <math> x= 0 </math>, <math> sin(y) = 0 </math> gives us the y-intercept <math> y = 0 </math>. Part(a) gives us the slope <math> \frac{\cos(0) - 0}{0 - \cos(0)} = -1..." current
- 05:5505:55, 20 March 2020 diff hist +108 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(b)/Hint 1 Created page with "What is the relationship between slope of the tangent line to the derivative at point <math> x = 0 </math> ?" current
- 05:5405:54, 20 March 2020 diff hist +165 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(b)/Statement Created page with "Consider the curve defined by <math>\arcsin(xy) = x + y </math>. (b) Find the tangent line to the curve <math> \arcsin(xy) = x + y</math> when <math> x = 0 </math>." current
- 05:5305:53, 20 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(b) 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..."
- 05:5305:53, 20 March 2020 diff hist +392 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(a)/Solution 1 Created page with "Applying <math> \sin </math> on both sides of the equation, we can implicitly differentiate <math> xy = \sin(x+y) </math>. Then by applying product rule and chain rule we get..." current
- 05:4105:41, 20 March 2020 diff hist +53 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(a)/Hint 2 Created page with "Use implicit differentiation and remember chain rule." current
- 05:3905:39, 20 March 2020 diff hist +84 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(a)/Hint 1 Created page with "Simplify the equation. <math> \arcsin </math> is the inverse of <math> \sin </math>." current
- 05:2205:22, 20 March 2020 diff hist +341 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(a)/Statement Created page with "Consider the curve defined by <math>\arcsin(xy) = x + y </math>. (a) Find <math> \frac{dy}{dx} </math> as a function of <math> x </math> and <math> y </math>. Your answer do..." current
- 05:1705:17, 20 March 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 09(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..."
29 February 2020
- 06:5706:57, 29 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (d) No edit summary
- 06:5606:56, 29 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (c) No edit summary
- 06:5606:56, 29 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (b) No edit summary
- 06:5506:55, 29 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (a) No edit summary
- 06:5006:50, 29 February 2020 diff hist +177 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (d)/Solution 1 Created page with "We know from part (c) that <math> f''(x) </math> changes sign at <math> x= 5/2 </math>. Therefore, the inflection point is <math> (5/2), (5/2)^{9/7} + (9/2)(5/2)^{2/7})</math>."
- 06:4706:47, 29 February 2020 diff hist +88 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (d)/Hint 1 Created page with "Where does <math> f(x) </math> change concavity? Refer to previous part of the question." current
- 06:4606:46, 29 February 2020 diff hist +181 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (d)/Statement Created page with "Let <math> \displaystyle f(x) = x^{\frac{9}{7}} + \frac{9x^{\frac{2}{7}}}{2}. </math> (d) Find the <math> x </math> and <math> y </math> coordinates of all the points of infle..." current
- 06:4506:45, 29 February 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (d) 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..."
- 06:4506:45, 29 February 2020 diff hist +590 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (c)/Solution 1 Created page with "<math> f''(x) = \frac{9}{7} \left( \frac{2}{7}x^{-\frac{5}{7}} + -\frac{5}{7}x^{-\frac{12}{7}} \right) = \frac{9}{49}x^{-\frac{5}{7}}(2-5x^{-1}). </math> We first find where <..."
- 06:2906:29, 29 February 2020 diff hist +115 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (c)/Hint 1 Created page with "If the function is concave up, the second derivative of the function is positive. For concave down, it is negative." current
- 06:2706:27, 29 February 2020 diff hist +215 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (c)/Statement Created page with "Let <math> \displaystyle f(x) = x^{\frac{9}{7}} + \frac{9x^{\frac{2}{7}}}{2}. </math> (c) Find the intervals on which <math> f(x) </math> is concave up and the intervals on wh..." current
- 06:2606:26, 29 February 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (c) 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..."
- 06:2306:23, 29 February 2020 diff hist +655 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (b)/Solution 1 Created page with "We can see from <math> f'(x) = \frac{9}{7}x^{\frac{2}{7}}(1 + x^{-1}) </math> that <math> f'(x) =0 </math> if <math> x = -1 </math> and undefined if <math> x = 0 </math>. We a..."
- 06:1506:15, 29 February 2020 diff hist +113 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (b)/Hint 1 Created page with "What are the critical points? Consider value(s) <math> c </math> where <math> f'(c) </math> is undefined as well."
- 06:0706:07, 29 February 2020 diff hist +309 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (b)/Statement Created page with "Let <math> \displaystyle f(x) = x^{\frac{9}{7}} + \frac{9x^{\frac{2}{7}}}{2}. </math> (b) Find the <math> x </math> and <math> y </math> for all the point(s) where <math> f(x)..." current
- 06:0306:03, 29 February 2020 diff hist +718 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (b) 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..."
- 06:0206:02, 29 February 2020 diff hist +631 N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 05 (a)/Solution 1 Created page with "We take the derivative <math> f'(x) = \frac{9}{7} (x^{\frac{2}{7}} + x^{-\frac{5}{7}}) = \frac{9}{7}x^{\frac{2}{7}}(1 + x^{-1}) </math>. We then check where <math> f'(x) > 0 <..."