• Today, 00:50
Newton's Method solves an equation of the form $\displaystyle f\left( x \right) = 0$, so we need to rewrite the equation as $\displaystyle... 0 replies | 26 view(s) • Yesterday, 15:47 In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our... 0 replies | 35 view(s) • Yesterday, 12:25 Klaas van Aarsen replied to a thread f in Calculus It appears the answer is: dkm Acronym for "don't kill me". Often used when somebody says something that somebody else finds really funny,... 5 replies | 103 view(s) • Yesterday, 11:56 topsquark replied to a thread f in Calculus I believe the proper question is "What the 'f'?" -Dan 5 replies | 103 view(s) • April 1st, 2020, 15:04$\newcommand{\doop}{\operatorname{do}}$Problem: (This is from Study question 4.3.1 from Causal Inference in Statistics: A Primer, by Pearl,... 0 replies | 56 view(s) • April 1st, 2020, 08:33 The Bisection Method is used to solve equations of the form$\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$does not appear in the original DE, that means... 0 replies | 44 view(s) • April 1st, 2020, 06:35 Not quite, although you started correctly. The limit in this case is as$x\to\infty$, so you want to see what happens when$x$gets large. This means... 3 replies | 101 view(s) • March 31st, 2020, 17:53 Wait! What do you mean by you changed it to v(t)? The particle's position is x(t) = sin(t) - cos(t) means that v = \dfrac{dx}{dt}. You can't just... 2 replies | 68 view(s) • March 31st, 2020, 14:52 Hi Goody, and welcome to MHB! To prove that \lim_{x\to\infty}\frac{x-1}{x+2} = 1, you have to show that, given$\varepsilon > 0$, you can find$N$... 3 replies | 101 view(s) • March 30th, 2020, 05:31 Let's take a look at a couple of examples. If$f(x)=x$, then$f'(x)=1$and$f''(x)=0$. So$\lim\limits_{x\to +\infty}f'(x)\ne 0$, isn't it?... 21 replies | 324 view(s) • March 30th, 2020, 04:26 Yep. (Nod) And no, nothing more specific. 21 replies | 324 view(s) • March 30th, 2020, 04:23 Prove It replied to a thread 34 mnt in Calculus The average acceleration is$\displaystyle \frac{20}{\frac{1}{6}} = 120 \,\textrm{mi}/\textrm{h}^2 $Since the function is continuous and smooth,... 1 replies | 84 view(s) • March 30th, 2020, 03:32 I believe so yes. Consider$f(x)=\ell$. It satisfies all conditions, doesn't it? (Wondering) And it is monotone instead of strictly monotone. To... 21 replies | 324 view(s) • March 29th, 2020, 14:38 Indeed. (Thinking) 21 replies | 324 view(s) • March 29th, 2020, 14:26 Yep. (Nod) 21 replies | 324 view(s) • March 29th, 2020, 13:57 Then the inequality also holds yes. What if fill in, say,$f'(y)=-1$in the inequality? Would it satisfy it? (Wondering) 21 replies | 324 view(s) • March 29th, 2020, 13:19 That is a possibility yes. What happens if$f'(y)$is negative? (Wondering) 21 replies | 324 view(s) • March 29th, 2020, 13:08 We have an expression with$f(y)$,$f'(y)$, and$\ell$. And we already know that$\ell\in\mathbb R$, don't we? So it can't be$\pm\infty$either. ... 21 replies | 324 view(s) • March 29th, 2020, 10:27 Ah okay. But that is not the case now is it? (Wondering) Sounds like a plan. (Nod) 21 replies | 324 view(s) • March 29th, 2020, 08:35 Let's see, suppose we pick a convex function, say$f(x)=x^2$. It's convex isn't it? Does$\lim\limits_{x\to +\infty}f'(x)$exist? (Wondering) ... 21 replies | 324 view(s) • March 29th, 2020, 07:38 Hey mathmari!! Let's start with: It follows from$\lim\limits_{x\rightarrow +\infty}f(x)=\ell$that$\lim\limits_{x\to +\infty}f'(x)=0$... 21 replies | 324 view(s) • March 28th, 2020, 20:13 You also have an arithmetic error. When$\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)
• March 28th, 2020, 16:11
Welcome to the forum! I guess that "between" is supposed to mean "among", but I am not sure about "even". If it means "at least", then the...
2 replies | 216 view(s)
• March 28th, 2020, 05:02
Take the Laplace Transform of the equation: \$\displaystyle \begin{align*} s\,Y\left( s \right) - y\left( 0 \right) + 11\,Y\left( s \right) &=...
4 replies | 123 view(s)
• March 28th, 2020, 04:42
Prove It replied to a thread 3.2.15 mvt in Calculus
I think the OP just means they are not sure if this is considered the most concise or elegant way, or if there are any steps that are not...
3 replies | 146 view(s)
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