User contributions for ETHANWHITE
27 February 2020
- 02:5002:50, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (c) No edit summary
- 02:4902:49, 27 February 2020 diff hist +254 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (c)/Solution 1 No edit summary
- 02:4702:47, 27 February 2020 diff hist +41 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (c)/Solution 1 Created page with "Use l'Hospital's rule. Create a fraction."
- 02:4702:47, 27 February 2020 diff hist +22 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (c)/Hint 1 Created page with "Use l'Hospital's rule."
- 02:4602:46, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (b) No edit summary
- 02:4502:45, 27 February 2020 diff hist +132 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (b)/Solution 1 Created page with "Divide number and denominator by <math> x^3 </math>. <math> \lim_{x \to \infty} \frac{ 3-2/x^3}{6+2/x+1/x^2} = \frac{3}{6}. </math>"
- 02:4302:43, 27 February 2020 diff hist +29 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (b)/Hint 1 Created page with "Compare leading coefficients."
- 02:4302:43, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(iii) No edit summary
- 02:4302:43, 27 February 2020 diff hist +238 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(iii)/Solution 1 Created page with "Take limits to infinity. The power of <math> x </math> in the denominator is greater than in the numerator and so the limits will both be zero. <math> \lim_{x \to \infty} g(..."
- 02:4002:40, 27 February 2020 diff hist +24 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(iii)/Hint 1 Created page with "Take limits to infinity."
- 02:3902:39, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(ii) No edit summary
- 02:3902:39, 27 February 2020 diff hist +350 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(ii)/Solution 1 Created page with "The denominator is zero for <math> x = -4,0,4 </math>. In part (i) we saw that <math> x = 4 </math> is not a vertical asymptote. The other two candidates are asymptotes. <ma..."
- 02:2602:26, 27 February 2020 diff hist +52 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(ii)/Hint 1 Created page with "The denominator will be zero, but remember part (i)."
- 02:2502:25, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(i) No edit summary
- 02:2502:25, 27 February 2020 diff hist +2 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(i)/Solution 1 No edit summary
- 02:2402:24, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(i)/Solution 1 No edit summary
- 02:2402:24, 27 February 2020 diff hist +139 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(i)/Solution 1 Created page with "Factor and compute. <math> \lim_{x \to 4} g(x) = \lim_{x \to 4}\frac{x-4}{x(x^2-16)}=\lim_{x \to 4}\frac{1}{x(x+4}} = \frac{1}{32} </math>."
- 02:2202:22, 27 February 2020 diff hist +23 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 02 (a)(i)/Hint 1 Created page with "Factor the denominator."
- 02:2202:22, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (i) No edit summary
- 02:1902:19, 27 February 2020 diff hist +122 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (i)/Solution 1 No edit summary
- 02:1702:17, 27 February 2020 diff hist +324 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (i)/Solution 1 Created page with "Since <math> f </math> is differentiable everywhere, <math> f'(1) = 0 </math>. Note also that <math>f(1) = 0</math> since <math>(1,0) </math> is a point. The derivative of <ma..."
- 02:1402:14, 27 February 2020 diff hist +130 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (i)/Hint 1 Created page with "The new function is differentiable at <math> x =1 </math> also. Therefore if it has a local max, then its derivative must be zero."
- 02:1202:12, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (h) No edit summary
- 02:1102:11, 27 February 2020 diff hist +242 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (h)/Solution 1 Created page with "Let the population function be <math> P(t) = 40e^{0.2t} </math>. The derivative is <math> P'(t) = 0.2 \cdot 40e^{0.2t}= 8e^{0.2t} </math>. Therefore the rate that the popul..."
- 02:0902:09, 27 February 2020 diff hist +19 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (h)/Hint 2 Created page with "Use the chain rule."
- 02:0902:09, 27 February 2020 diff hist +53 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (h)/Hint 1 Created page with "The rate that the population grows is the derivative."
- 02:0802:08, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g) No edit summary
- 02:0802:08, 27 February 2020 diff hist +2 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g)/Solution 1 No edit summary
- 02:0802:08, 27 February 2020 diff hist +355 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g)/Solution 1 Created page with "The function <math> 2 \ln x </math> has derivative <math> \frac{2}{x}</math>. The function <math> \frac{x^5}{20} </math> has derivative <math> \frac{x^4}{4}</math>. Constants..."
- 02:0602:06, 27 February 2020 diff hist +81 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g)/Hint 1 No edit summary
- 02:0402:04, 27 February 2020 diff hist +32 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (g)/Hint 1 Created page with "Reverse engineer the power rule."
- 02:0202:02, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (f) No edit summary
- 02:0202:02, 27 February 2020 diff hist +147 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (f)/Solution 1 Created page with "The chain rule gives <math> f'(x) = \frac{1}{\sqrt{5x}} \cdot \frac{1}{2\sqrt{5x}} </math>. Thus <math> f'(\frac{1}{5}) = \frac{1}{2} </math>."
- 02:0002:00, 27 February 2020 diff hist +19 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (f)/Hint 1 Created page with "Use the chain rule."
- 01:5901:59, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (e) No edit summary
- 01:5901:59, 27 February 2020 diff hist +23 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (e)/Solution 1 No edit summary
- 01:5801:58, 27 February 2020 diff hist +143 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (e)/Solution 1 Created page with "The quotient rule gives <math> y' = \frac{-\sin x (\sin x + 1) - \cos x \cos x }{(\sin x +1)^2} = -\frac{\sin x +1 }{(\sin x +1)^2} </math>."
- 01:5601:56, 27 February 2020 diff hist +22 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (e)/Hint 1 Created page with "Use the quotient rule."
- 01:5601:56, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (d) No edit summary
- 01:5501:55, 27 February 2020 diff hist +222 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (d)/Solution 1 Created page with "The slope of the tangent line is the value of the derivative. The derivative is <math> f'(x) = 3x^2 + 12. </math> Solving <math> 3x^2 + 12 = 15 </math>, gives the solutions..."
- 01:5501:55, 27 February 2020 diff hist −161 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (d)/Hint 1 No edit summary
- 01:5401:54, 27 February 2020 diff hist +222 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (d)/Hint 1 Created page with "The slope of the tangent line is the value of the derivative. The derivative is <math> f'(x) = 3x^2 + 12. </math> Solving <math> 3x^2 + 12 = 15 </math>, gives the solutions..."
- 01:5201:52, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (c) No edit summary
- 01:5201:52, 27 February 2020 diff hist +370 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (c)/Solution 1 Created page with "Recall that a function is continuous if and only if it is continuous at every point. We'll see that the function is discontinuous at <math> x =1 </math>, and so it is disconti..."
- 01:4801:48, 27 February 2020 diff hist +51 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (c)/Hint 1 Created page with "If the function was graphed, would there be a jump?"
- 01:4701:47, 27 February 2020 diff hist 0 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b) No edit summary
- 01:4701:47, 27 February 2020 diff hist +175 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b)/Solution 1 Created page with "The first derivative is 2, so the objects velocity is 2 m/s. The second derivative is negative, so acceleration is negative, and the object is slowing down. The answer is (b)."
- 01:4601:46, 27 February 2020 diff hist +77 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b)/Hint 2 Created page with "The first derivative represents velocity. The second represents acceleration."
- 01:4501:45, 27 February 2020 diff hist +71 N Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b)/Hint 1 Created page with "Recall the physical interpretation of derivative and second derivative."
- 01:4401:44, 27 February 2020 diff hist +1 Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b)/Statement No edit summary