• Today, 01:06
No one answered to POTW #409. Here is a suggested solution from other: The function S(x)=\sum_{k=1}^{70}\dfrac{k}{x-k} is discontinuous at...
2 replies | 243 view(s)
• Yesterday, 18:07
I appreciate another take on the sites that I have listed. The more views I get from you all, the better. I view the way MHB goes as a group decision...
6 replies | 218 view(s)
• Yesterday, 11:06
The problems with MHF were always about personnel and authority structure. If the leaders of MHF had been willing to appoint multiple admins, like we...
6 replies | 218 view(s)
• Yesterday, 02:53
Thank you for pointing this out. I have not looked at other sites in a long time so don't know these things. If a merge was possible I promise I...
6 replies | 218 view(s)
• Yesterday, 02:01
Hey firemath, Thank you for the reply. It's great to hear back from someone on this tough topic. I actually strongly prefer a merge over other...
6 replies | 218 view(s)
• April 6th, 2020, 17:02
Prove It is not giving you the answer he is giving you a suggestion that you can use the limit he posted. See if there is any kind of substitution...
6 replies | 107 view(s)
• April 6th, 2020, 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...
6 replies | 218 view(s)
• April 6th, 2020, 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 | 62 view(s)
• April 6th, 2020, 10:30
\frac{\left(x\sin\left(\pi\left(x-1\right)\right)\right)}{e^{x/9}(x-1)} The above graph shows that the function repeats its value at $x=1$ when $x$...
4 replies | 74 view(s)
• April 5th, 2020, 01:08
Here is this week's POTW: ----- Suppose that the positive integers $x, y$ satisfy $2x^2+x=3y^2+y$. Show that $x-y, 2x+2y+1, 3x+3y+1$ are all...
0 replies | 243 view(s)
• April 5th, 2020, 01:02
No one answered last week's POTW.(Sadface) Below is a suggested solution: The given function is the square of the distance between a point of the...
1 replies | 187 view(s)
• April 4th, 2020, 04:14
This is actually a proof of (ii) $\Rightarrow$ (iii) in Lemma 3.2. So we are assuming that (ii) holds. In particular, since $\overline{ f(A) }$ is...
1 replies | 250 view(s)
• April 3rd, 2020, 15:47
I have obtained access to the full solutions manual, after contacting Wiley about it. I will not type up the solution in full, but simply note a few...
1 replies | 302 view(s)
• April 2nd, 2020, 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 | 264 view(s)
• April 2nd, 2020, 11:56
topsquark replied to a thread f in Calculus
I believe the proper question is "What the 'f'?" -Dan
5 replies | 360 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,...
1 replies | 302 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 | 349 view(s)
• March 31st, 2020, 17:53
topsquark replied to a thread [SOLVED] 299What is the acceleration in Calculus
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...
4 replies | 351 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 | 349 view(s)
• March 27th, 2020, 23:42
Here is this week's POTW: ----- Find the minimum value of $(u-v)^2+\left(\sqrt{2-u^2}-\dfrac{9}{v}\right)^2$ for $0<u<\sqrt{2}$ and $v>0$. ...
1 replies | 187 view(s)
• March 27th, 2020, 23:38
Hi MHB! I have decided to extend the deadline by another week so that our members can give this problem another shot and I am looking forward to...
2 replies | 243 view(s)
• March 26th, 2020, 20:42
Have you tried looking at \lim_{n \to \infty} \dfrac{a_{n + 1}}{a_n}? -Dan
2 replies | 114 view(s)
• March 26th, 2020, 18:35
Let y'(x) = v(x). Then your equation becomes v'(x) + v(x) = -F(x) Now you have a first degree linear ordinary differential equation. You can't...
1 replies | 105 view(s)
• March 20th, 2020, 19:44
topsquark replied to a thread [SOLVED] s8.2.5.7 chain rule in Calculus
Look at your first factor: \left ( 7x^6 + 8 x^3 \right ) ^3 = ( x^3 ( 7 x^3 + 8 ) )^3 = (x^3)^3 (7 x^3 + 8 )^3 Don't worry. It's an easy mistake...
2 replies | 314 view(s)
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#### Basic Information

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May 21, 1989 (30)
Biography:
I helped co-found Math Help Boards back in January of 2012. I'm currently a graduate student at Michigan State University, pursuing research in probability and applications to biology.
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