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Newton's Method solves an equation of the form $\displaystyle f\left( x \right) = 0$, so we need to rewrite the equation as $\displaystyle... 0 replies | 24 view(s) • Yesterday, 22:30 Monoxdifly replied to a thread f in Calculus don't know manners? 5 replies | 97 view(s) • Yesterday, 15:47 In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our... 0 replies | 32 view(s) • Yesterday, 11:56 topsquark replied to a thread f in Calculus I believe the proper question is "What the 'f'?" -Dan 5 replies | 97 view(s) • Yesterday, 11:21 HallsofIvy replied to a thread f in Calculus ??what?? 5 replies | 97 view(s) • April 1st, 2020, 15:04$\newcommand{\doop}{\operatorname{do}}$Problem: (This is from Study question 4.3.1 from Causal Inference in Statistics: A Primer, by Pearl,... 0 replies | 54 view(s) • April 1st, 2020, 08:33 The Bisection Method is used to solve equations of the form$\displaystyle f\left( x \right) = 0 $, so we need to rewrite the equation as... 0 replies | 53 view(s) • April 1st, 2020, 07:44 You first have to write this DE as a system of first order equations. Note, since$\displaystyle t$does not appear in the original DE, that means... 0 replies | 44 view(s) • April 1st, 2020, 07:35 HallsofIvy replied to a thread Cathode and Anode in Chemistry You can blame Benjamin Franklin and others of that time! When initially studying static electricity and the way it moves from one place to anther... 2 replies | 306 view(s) • March 31st, 2020, 17:53 Wait! What do you mean by you changed it to v(t)? The particle's position is x(t) = sin(t) - cos(t) means that v = \dfrac{dx}{dt}. You can't just... 2 replies | 67 view(s) • March 31st, 2020, 17:38$\tiny{299}$For$t \ge 0$the position of a particle moving along the x-axis is given by$v(t)=\sin t\cos t$What is the acceleration of the... 2 replies | 67 view(s) • March 30th, 2020, 04:35 mathmari replied to a thread Limits & properties in Analysis Ok!! As for the second question, why is the limit always zero? (Wondering) 21 replies | 321 view(s) • March 30th, 2020, 04:23 Prove It replied to a thread 34 mnt in Calculus The average acceleration is$\displaystyle \frac{20}{\frac{1}{6}} = 120 \,\textrm{mi}/\textrm{h}^2 $Since the function is continuous and smooth,... 1 replies | 83 view(s) • March 30th, 2020, 03:57 mathmari replied to a thread Limits & properties in Analysis OK, so it's graph is a decreasing function, right? Or can we say something more specifically? (Wondering) 21 replies | 321 view(s) • March 30th, 2020, 00:39 karush started a thread 34 mnt in Calculus$10 min = \dfrac{h}{6}$So$a(t)=v'(t) =\dfrac{\dfrac{(50-30)mi}{h}}{\dfrac{h}{6}} =\dfrac{20 mi}{h}\cdot\dfrac{6}{h}=\dfrac{120 mi}{h^2}$... 1 replies | 83 view(s) • March 29th, 2020, 17:21 mathmari replied to a thread Limits & properties in Analysis I don't see how we get the strict inequality. Is maybe the result wrong and it should be monotone instead of strictly monotone? (Wondering) 21 replies | 321 view(s) • March 29th, 2020, 14:31 mathmari replied to a thread Limits & properties in Analysis Ok! That means that$f$is monotone and escpecially descreasing, right? To get that$f$is strictly monotone, do we have to get$f'(x)<0$instead of... 21 replies | 321 view(s) • March 29th, 2020, 14:18 mathmari replied to a thread Limits & properties in Analysis Yes, because then from$\ell\geq f(y)+f'(y)(+\infty-y)$we get$-\infty$at the right side of the inequality, and so$\ell$can be real. ... 21 replies | 321 view(s) • March 29th, 2020, 13:52 mathmari replied to a thread Limits & properties in Analysis Ah$(-\infty)\cdot (+\infty)$is also an undefined form, isn't it? So$f'(y)$is either$0$or$-\infty$, right? (Wondering) 21 replies | 321 view(s) • March 29th, 2020, 13:14 mathmari replied to a thread Limits & properties in Analysis So that we get that$\ell$is not infinity we have to get an undefined form, one such form is when infinity is multiplied with zero, so$f'(y)must... 21 replies | 321 view(s) • March 29th, 2020, 12:28 mathmari replied to a thread Limits & properties in Analysis So we have the following: \begin{align*}f(x)\geq f(y)+f'(y)(x-y)&\Rightarrow \lim_{x\rightarrow +\infty}f(x)\geq \lim_{x\rightarrow... 21 replies | 321 view(s) • March 29th, 2020, 09:06 mathmari replied to a thread Limits & properties in Analysis At the previous exerciseL$belong to$\mathbb{R}\cup \{\pm \infty\}$. So since$f'(x)=2x$and the limit is equal to$+\infty$and so it exists.... 21 replies | 321 view(s) • March 29th, 2020, 08:09 mathmari replied to a thread Limits & properties in Analysis In a previous exercise I showed that $$\lim_{x\rightarrow +\infty}(f(x+1)-f(x))=L \Rightarrow \lim_{x\rightarrow +\infty}f'(x)=L$$ if we know that... 21 replies | 321 view(s) • March 29th, 2020, 07:48 Isn't "x^2*2016x" the same as "2016x^3"? 2 replies | 149 view(s) • March 29th, 2020, 07:41 Argh! Arithmetic! I never was any good at that! 4 replies | 123 view(s) • March 29th, 2020, 05:52 mathmari started a thread Limits & properties in Analysis Hey!! :o Could you give me a hint how to prove the following statements? (Wondering) Let$f:\mathbb{R}\rightarrow \mathbb{R}$be... 21 replies | 321 view(s) • March 28th, 2020, 20:13 You also have an arithmetic error. When$\displaystyle t = 5$you end up with$\displaystyle 5 = C - \frac{3}{121} \implies C = 5 + \frac{3}{121} =...
4 replies | 123 view(s)
• March 28th, 2020, 18:48
Thanks for pointing out my error Hallsofivy. Adam is one of my students, and the topic they are learning is Laplace Transforms, so he will have to...
4 replies | 123 view(s)
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