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• Today, 21:33
The region $R$ is a rectangle having the vertices: (0,1),\,(1,1),\,(1,-1),\,(0,-1) One way we can compute the volume is: ...
4 replies | 53 view(s)
• Today, 19:41
MarkFL replied to a thread logs in Pre-Algebra and Algebra
Okay, we are given: \ln\left(x-\frac{1}{x}-3\right)=2 Converting from logarithmic to exponential form, we have: x-\frac{1}{x}-3=e^2 ...
1 replies | 15 view(s)
• Today, 15:26
As for the $\LaTeX$, look under the "Calculus/Analysis" section of our Quick $\LaTeX$ tool. You will find it, which gives the code: ...
4 replies | 53 view(s)
• Today, 10:48
MarkFL replied to a thread The Fonz and Geometry in Chat Room
Yes, and I was just pointing out that there can be other reasons a student fails besides lack of innate ability to understand the material, or an...
5 replies | 63 view(s)
• Today, 10:18
MarkFL replied to a thread The Fonz and Geometry in Chat Room
If a child's parents consistently put a child down, then I think this can have negative consequences on the child. I think there are a great many...
5 replies | 63 view(s)
• Yesterday, 23:08
I disagree with this...I think it is the societal attitude that it's okay to fail at math that is part of the problem. Someone says to their friends,...
9 replies | 94 view(s)
• Yesterday, 22:23
If we have 2000 people, 300 of which are women, then the probability that all 300 women will be on the same team is given by: P(A)=\frac{{1700...
5 replies | 51 view(s)
• Yesterday, 22:01
I think your second method is correct. Suppose we call the teams $X$ and $Y$...and now we need only look at one team, so let's look at team $X$. If...
5 replies | 51 view(s)
• Yesterday, 19:04
MarkFL replied to a thread Solar Eclipse 2017 in Chat Room
Yesterday during the big event, we had pervasive heavy cloud cover and intermittent rain. Today, sunny and clear all day. Story of my life...(Giggle)
8 replies | 233 view(s)
• Yesterday, 16:20
I like Serena replied to a thread Solar Eclipse 2017 in Chat Room
Where are the pictures and the videos for us poor people that were nowhere near the total solar eclipse?
8 replies | 233 view(s)
• Yesterday, 14:46
To start things off, here is my submission: \begin{tikzpicture} \coordinate (A) at (0,0); \coordinate (B) at (4,0); \coordinate (C) at...
1 replies | 47 view(s)
• Yesterday, 14:45
Who can make the most impressive, interesting, or pretty TikZ picture? This first challenge is to create a geometrical diagram, like a triangle,...
1 replies | 47 view(s)
• Yesterday, 13:42
Hi everyone! ;) We are very excited to announce the introduction of TikZ pictures. MHB is the very first math site ever to allow members to post...
0 replies | 41 view(s)
• Yesterday, 03:58
Suppose that $z_n\leqslant1$. Then $z_n^2 \leqslant z_n \leqslant 1$, $z_n^3 \leqslant z_n^2 \leqslant 1$, ... , and by induction $z_n^k\leqslant 1$...
4 replies | 70 view(s)
• August 21st, 2017, 12:26
Here is this week's POTW: ----- If a quadrilateral is circumscribed about a circle, prove that its diagonals and the two chords joining the...
0 replies | 38 view(s)
• August 21st, 2017, 12:22
Suppose \frac{3}{2}\le x \le 5. Prove that 2\sqrt{x+1}+\sqrt{2x-3}+\sqrt{15-3x}<2\sqrt{19}. Congratulations to MarkFL for his correct...
1 replies | 92 view(s)
• August 21st, 2017, 11:54
If $c>1$ then $c^n < c^{n+1}$. Raise both sides to the power $\frac1{n(n+1)}$ to get $c^{1/(n+1)} < c^{1/n}$. In other words, $z_{n+1} < z_n.$
4 replies | 70 view(s)
• August 20th, 2017, 14:10
Yep.
11 replies | 195 view(s)
• August 20th, 2017, 01:29
MarkFL posted a visitor message on Peter's profile
Hey Peter! (Wave) I edited your post to remove the duplicate content. Sorry for the late reply, I was busy "powering through" a tedious 3 hour...
• August 19th, 2017, 18:13
Thanks! The software is embedded in this forum just like MathJax for formulas. See: http://mathhelpboards.com/showthread.php?19543-TikZ-pictures...
11 replies | 195 view(s)
• August 19th, 2017, 13:53
We would need to investigate. In practice it may be a matter of trial and error. If we pick $R=N+1$ we won't do any squaring tricks, but we will...
18 replies | 383 view(s)
• August 19th, 2017, 13:23
First step is to only look at the external forces that act on the whole object. That is, the forces of gravity on each object and the normal forces...
11 replies | 195 view(s)
• August 18th, 2017, 03:40
Yep. (Nod) So we can indeed extend f to a continuous function with $f(x,0)=x^2\frac\pi 2$, $f(0,y)=y^2\frac\pi 2$, and $f(0,0)=0$.
3 replies | 68 view(s)
• August 17th, 2017, 15:03
Hey laura123! To extend $f$ to a continuous function on $\mathbb R^2$ we need that for every $x_0$ the limit $\displaystyle\lim_{(x,y)\to(x_0,0)}... 3 replies | 68 view(s) • August 17th, 2017, 11:57 Note that 10426 / 163652 = 6.4%. It's the distribution of the abortions over the age groups as a percentage. 3 replies | 119 view(s) • August 17th, 2017, 06:02 Yes! (Yes) 4 replies | 77 view(s) • August 17th, 2017, 02:10 Small quibble...axis of symmetry is: t=-\frac{1}{105} So, since the parabola opens up, the vertex is a minimum, so the minimum distance will be... 8 replies | 174 view(s) • August 17th, 2017, 00:59 For a parabola of the form: f(x)=ax^2+bx+c We know the axis of symmetry is at: x=-\frac{b}{2a} So, for: 8 replies | 174 view(s) • August 16th, 2017, 22:42 Overview: This product is designed to auto-post a welcome thread for all new users once they have completed all verifications, and/or returning... 0 replies | 28 view(s) • August 16th, 2017, 21:58 Isn't this question a duplicate of the following? 231.12.3.65 Determine the smallest distance between a point and a line 1 replies | 45 view(s) • August 16th, 2017, 17:25 Hey freedomdorm! I saw you posted this update on to another question so I gave you your own thread. Are you curious about the other question or do... 1 replies | 46 view(s) • August 16th, 2017, 11:27 Hi ConfusedCat! Welcome to MHB! ;) We would need to test for independence of 2 continuous variables. For instance this link gives a couple of... 2 replies | 66 view(s) • August 15th, 2017, 11:11 Edit. I wrote this before seeing Evgeny's comment above. You should probably look at both comments in parallel.] I think you are right. There is... 3 replies | 75 view(s) • August 14th, 2017, 17:42 I like Serena replied to a thread [SOLVED] 12 DeMoivre's theorem in Trigonometry Sorry for running ahead on the material you're learning. (Blush) 13 replies | 275 view(s) • August 14th, 2017, 16:59 I like Serena replied to a thread [SOLVED] 12 DeMoivre's theorem in Trigonometry$\cis$means: $$\cis\phi=e^{i\phi}=\cos\phi + i\sin\phi$$ It's a shorthand. 13 replies | 275 view(s) • August 14th, 2017, 11:07 If$\vec{AB}$is perpendicular to the line$L_1$, we should have that$\vec{AB}\$ is perpendicular to the direction vector...
2 replies | 106 view(s)
• August 14th, 2017, 01:09
MarkFL replied to a thread Solar Eclipse 2017 in Chat Room
I was just reading about how tree leaves can form "pinhole cameras" and the eclipse can be seen in their shadows:
8 replies | 233 view(s)
• August 13th, 2017, 14:03
MarkFL replied to a thread [SOLVED] 12 DeMoivre's theorem in Trigonometry
In case you're wondering how I obtained the following factorizations: 1+3i=(1+i)(2+i) 2-2i=-(1+i)^3 What I did for the first was to write: ...
13 replies | 275 view(s)
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