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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 | 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, 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 | 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)
• August 21st, 2017, 23:30
Thanks Opalg ... but ... can you indicate how we prove that z_n \gt 1 ... ? Peter
4 replies | 70 view(s)
• August 21st, 2017, 06:40
I am reading "Introduction to Real Analysis" (Fourth Edition) b Robert G Bartle and Donald R Sherbert ... I am focused on Chapter 2: Sequences and...
4 replies | 70 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 20th, 2017, 00:43
Thanks for the help, Euge ... An attempt to follow your advice follows ... To show that n \in \mathbb{N} \Longrightarrow n \gt 0 ... ... ......
3 replies | 80 view(s)
• August 20th, 2017, 00:15
Hmm ... you are right, of course ... and, indeed, the solution using Part (a) seems obvious ... ... ... don't know how I missed it ... :(... ...
5 replies | 96 view(s)
• August 19th, 2017, 05:18
Thanks for the help, Euge ... I now have a way now to prove that 1 \gt 0 but I am concerned because it involves what Sohrab lists as a subsequent...
5 replies | 96 view(s)
• August 18th, 2017, 05:06
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
3 replies | 80 view(s)
• August 18th, 2017, 03:11
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
5 replies | 96 view(s)
• August 18th, 2017, 02:51
I think I have made some progress with showing that \frac{a}{2} \gt 0 ... We have 2 \gt 0 (can we say this? How is this justified?) and so...
2 replies | 47 view(s)
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### 14 Visitor Messages

1. Hi Bacterius, happy birthday!
2. Happy Birthday, Bacterius!! I hope you have a nice celebration with your close ones. . Thank you for being an active part of MHB!
3. Hey Bacterius, really liked the number theory challenge of yours. I wonder if that's an Olympiad problem. (PS : I have produced somewhat of a solution, but I am not sure if it's correct)
4. Hey, Happy Birthday! Here in the U.S., the 21st birthday in really the last milestone of youth, because that's the legal drinking age.
5. I hope that today is the beginning of a great year for you...Happy Birthday!
6. For what it's worth, you come across on the forums as someone with wisdom and maturity far beyond your years.
7. Happy Birthday!

You are no longer a teenager...it's all downhill from here.
8. Happy Birthday, mate!!
9. Happy birthday!
10. Hey Bacterius!

I thought your post in the sequence challenge was very enlightening and well-written! Excellent job!
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