• 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 | 47 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 | 12 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 | 47 view(s)
• Today, 15:07
I would certainly agree that this is a problem. Standardized tests are only so valuable. Some of them are worth keeping, but it's never worth the...
9 replies | 94 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)
• Today, 09:20
I think everyone is capable of some capacity with numbers, and should attain what they can. (The same goes for words, of course.) I think some of the...
9 replies | 94 view(s)
• Today, 09:14
Ackbach replied to a thread Solar Eclipse 2017 in Chat Room
It was a very fun event to witness. I took the afternoon off from work. While we did get, as Mark mentioned, about 92% coverage, it was quite enough...
8 replies | 233 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 | 50 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 | 50 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, 09:12
Here is this week's POTW: ----- Let $n$ be an even positive integer. Write the numbers $1,2,\ldots,n^2$ in the squares of an $n\times n$ grid...
0 replies | 28 view(s)
• Yesterday, 09:11
Congratulations to MarkFL for his correct solution, which follows: I would consider the parabola: y=ax^2-1 where $0<a$ And given its...
1 replies | 82 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)
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May 21, 1989 (28)
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N-Body Problem, Celestial Mechanics, Contact Topology, Classical Music
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