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• Today, 16:33
What do you mean "there is no graph on the positive side"? Of couse there is.
4 replies | 48 view(s)
• Today, 16:12
How many "capsules" are there on the Ferris wheel?
2 replies | 19 view(s)
• Today, 12:06
Hi all, I think even we do switch to XF (is still going to happen) the time has come to make a change. We have a database of amazing content here...
0 replies | 38 view(s)
• Today, 11:37
Hi all, I hope you are all safe, healthy, and not affected in a serious way by the world wide COVID-19 virus. Here in the US it has completely...
0 replies | 23 view(s)
• Today, 11:34
Hey mathmari!! This is an example where Newton-Raphson can have problems if we are not careful. If we pick a starting value that is too far from...
2 replies | 33 view(s)
• Yesterday, 10:37
I substituted $n=\frac 1{x^2}$, which also means that $x^2=\frac 1 n$. So we get $\Big(1 + \frac 32 x^2\Big)^{1/x^2} = \Big(1 + \frac 32 \cdot \frac... 7 replies | 150 view(s) • Yesterday, 09:14 It's like this: $$\Big(1-\frac 12 x^2 + \ldots\Big)\Big(1+\frac 12 (2x)^2 - \ldots\Big)\\ =1\cdot 1 -\frac 12 x^2 \cdot 1+1\cdot \frac 12 (2x)^2 -... 7 replies | 150 view(s) • Yesterday, 07:04 The series expansion of \cos x = 1 - \frac 12x^2 + \ldots. And the expansion of \frac 1{1-x} = 1+x+x^2+\ldots So:$$\frac{\cos(x)}{\cos(2x)}... 7 replies | 150 view(s) • April 2nd, 2020, 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 | 220 view(s) • April 2nd, 2020, 11:21 HallsofIvy replied to a thread f in Calculus ??what?? 5 replies | 220 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 | 331 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 | 437 view(s) • March 30th, 2020, 04:26 Yep. (Nod) And no, nothing more specific. 21 replies | 437 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 | 437 view(s) • March 29th, 2020, 14:38 Indeed. (Thinking) 21 replies | 437 view(s) • March 29th, 2020, 14:26 Yep. (Nod) 21 replies | 437 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 | 437 view(s) • March 29th, 2020, 13:19 That is a possibility yes. What happens if$f'(y)$is negative? (Wondering) 21 replies | 437 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 | 437 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 | 437 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 | 437 view(s) • March 29th, 2020, 07:48 Isn't "x^2*2016x" the same as "2016x^3"? 2 replies | 175 view(s) • March 29th, 2020, 07:41 Argh! Arithmetic! I never was any good at that! 4 replies | 145 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 | 437 view(s) • March 28th, 2020, 08:15 Let me, yet again, state my dislike for the "Laplace Transform Method"! And, in fact, Prove It made a slight arithmetic error (easy to do with... 4 replies | 145 view(s) • March 27th, 2020, 13:51 What language was this originally in? Things like "There is even one student between these boys" make no sense at all to me! What is the... 2 replies | 234 view(s) • March 27th, 2020, 13:13 So$x^2+ y= z^2$for x, y, and z integers. That is the same as$x^2- z^2= (x- z)(x+ z)= y$. Look at the ways to factor y: y= mn and the x- z= m, x+... 1 replies | 131 view(s) More Activity ### 2 Visitor Messages 1. Hey, I just wanted to let you know I love your avatar! Sheldon RULES!!! 2. Hi abender! Glad to see you at MHB! Showing Visitor Messages 1 to 2 of 2 About abender #### Basic Information Age 34 ##### About abender Interests: Family, Faith, Baseball, Math/Stat, Programming,$, Wt Lifting, Advocating, Videogames, RAVENS SB!
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