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10:5610:56, 6 April 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12 ‎No edit summary current
10:5510:55, 6 April 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12/Solution 1 ‎No edit summary current
10:5310:53, 6 April 2020 diff hist +54‎ Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12/Hint 1 ‎No edit summary current
10:5210:52, 6 April 2020 diff hist +1,086‎ N Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12/Solution 1 ‎ Created page with "Solutions of the equation are zeros of the function <math> f(x)=x-4\log(x) </math>. The domain of <math> f(x) </math> is <math> x>0 </math>. Since <math> f'(x)=1-\frac{4}{x}..."
10:2310:23, 6 April 2020 diff hist +65‎ N Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12/Hint 1 ‎ Created page with "Think about zeros of the function <math> f(x)=x-4\log(x) </math>."
07:0607:06, 6 April 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH102/December 2019/Question 03 ‎No edit summary current
07:0507:05, 6 April 2020 diff hist +328‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 03/Solution 1 ‎ Created page with "We take <math> f(x)=x^4-3 </math> and <math> x_0=1 </math>. Then <math> f'(x)=4x^3 </math>. We use Newton's method: <math> x_1=x_0-\frac{f(x_0)}{f'(x_0)}=1-\frac{1-3}{4}=\f..."
07:0007:00, 6 April 2020 diff hist +161‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 03/Hint 1 ‎ Created page with "Find a simple function (for example, an integer-valued polynomial) <math> f(x) </math> such that <math> \sqrt[4]{3} </math> is a solution of <math> f(x) </math>." current
06:5606:56, 6 April 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH102/December 2019/Question 02 ‎No edit summary current
06:5606:56, 6 April 2020 diff hist +473‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 02/Solution 1 ‎ Created page with "Take the exponential on both sides: <math> e^{\ln(x)+\ln(x+3)}=e^{\ln(x)}\cdot e^{\ln(x+3)}=x(x+3) </math> and <math> e^{\ln(20-5x)}=20-5x </math>. We then solve the quadrat..." current
06:4706:47, 6 April 2020 diff hist +74‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 02/Hint 1 ‎ Created page with "Take the exponential on both sides, and then solve the quadratic equation." current
06:4406:44, 6 April 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01 ‎No edit summary current
06:4206:42, 6 April 2020 diff hist +53‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01/Hint 1 ‎ Created page with "Use the product rule, power rule, and the chain rule." current
06:4106:41, 6 April 2020 diff hist +387‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01/Solution 1 ‎ Created page with "First we apply the product rule. <math>f'(x)=(x^c)'\sin(ax)+x^c(\sin(ax))'.</math> According to the power rule, the derivative of <math> x^c </math> is <math> cx^{c-1} </mat..." current

05:2805:28, 2 April 2020 diff hist +211‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 03/Statement ‎ Created page with "Use two iterations of Newton's Method to find a rational number closely approximating <math>\sqrt[4]{3}</math>. Explain your choice of <math>x_0</math>. You may leave your fi..." current
05:2805:28, 2 April 2020 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 03 ‎ Created page with "  <!-- second letter is for..."
05:2705:27, 2 April 2020 diff hist +124‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 02/Statement ‎ Created page with "Solve the following equation for <math>x</math>, or state that no solution exists. <math>\ln(x)+\ln(x+3)=\ln(20-5x).</math>" current
05:2605:26, 2 April 2020 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 02 ‎ Created page with "  <!-- second letter is for..."
05:2405:24, 2 April 2020 diff hist +22‎ Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01/Statement ‎No edit summary current
05:2405:24, 2 April 2020 diff hist +216‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01/Statement ‎ Created page with "Consider the function <math>f(x)=x^c\sin(ax) </math> where $a$ and $c$ are constants. Find <math>f'(x)</math>. Your answer may depend on the parameters <math>a</math> and <ma..."
05:2205:22, 2 April 2020 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH102/December 2019/Question 01 ‎ Created page with "  <!-- second letter is for..."
05:1505:15, 2 April 2020 diff hist +97‎ N Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12/Statement ‎ Created page with "How many solutions does the equation <math>\frac{x}{\log x} = 4</math> have? Justify your answer." current
05:1205:12, 2 April 2020 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH100/December 2019/Question 12 ‎ Created page with "  <!-- second letter is for..."

19:5919:59, 27 February 2020 diff hist 0‎ Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03 ‎No edit summary
19:5519:55, 27 February 2020 diff hist +76‎ N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03/Hint 2 ‎ Created page with "You would likely need to use the L'Hôpital's Rule, possibly more than once."
19:5119:51, 27 February 2020 diff hist +847‎ N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03/Solution 1 ‎ Created page with "We denote the limit by <math>\displaystyle L</math> and next we compute <math>\displaystyle \log(L)=\lim_{x\to 0^+} \sin(x)\cdot \log(x)=\lim_{x\to 0^+}\frac{\log(x)}{\frac{..."
19:4419:44, 27 February 2020 diff hist +74‎ N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03/Hint 1 ‎ Created page with "Take <math> \displaystyle \log </math> to the function and find its limit." current
06:2906:29, 27 February 2020 diff hist +118‎ N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03/Statement ‎ Created page with "Compute the following limit or prove that it does not exist: <math> \displaystyle \lim_{x\to 0^+} x^{\sin(x)} </math>" current
06:2106:21, 27 February 2020 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH100/December 2018/Question 03 ‎ Created page with "  <!-- second letter is for..."

6 April 2020

2 April 2020

27 February 2020