• Today, 03:13
Here is this week's POTW: ----- Find the exact value for the real root of the equation $x^3+3x-2=0$. ----- Remember to read the POTW...
0 replies | 27 view(s)
• Today, 02:59
Congratulations to the following members for their correct solution::) 1. kaliprasad 2. lfdahl Honorable mention goes to cmath123, as he has his...
1 replies | 107 view(s)
• Yesterday, 20:12
Yes. $$= = = 1$$
3 replies | 46 view(s)
• Yesterday, 19:34
Hi FallArk! The $$notation indicates the floor function. That is, rounding down to the nearest integer below x. Btw, I prefer the notation... 3 replies | 46 view(s) • Yesterday, 17:49 I like Serena replied to a thread [SOLVED] How to prove continuity? in Analysis Hi FallArk! ;) Let's take the definition of continuity into account:$$\lim_{x\to c} f(x) = f(c) \ne 0 This means that for any $\epsilon>0$...
4 replies | 59 view(s)
• Yesterday, 02:29
MarkFL replied to a thread 231.14.88 3d surface in Calculus
Multiplying through by $9+6x-8y$ and distributing the $26$, we obtain -x^2-y^2+z^2=156x-208y+234 -x^2-156x-y^2+208y+z^2=234 ...
3 replies | 53 view(s)
• February 17th, 2017, 17:44
Simplex yes. And no, we didn't need to figure out the configurations - they were given. At best it helps a bit to understand the problem statement....
11 replies | 126 view(s)
• February 17th, 2017, 16:05
Looks good. Does that mean that we're done? (Wondering)
11 replies | 126 view(s)
• February 17th, 2017, 15:20
Yes and yes. What would the objective function be? (Wondering)
11 replies | 126 view(s)
• February 17th, 2017, 14:11
Yes and yes. How many plates A and B do we need? (Thinking)
11 replies | 126 view(s)
• February 17th, 2017, 02:59
We have $2010 y + 2010 x = xy$ or $xy - 2010x - 2010y = 0$ or $(x-2010)(y-2010) = 2010^2= 2^2 * 3^2 * 5^2 * 67^2$ the above has...
2 replies | 98 view(s)
• February 17th, 2017, 01:20
My attempt: Given the relation: \ Both $x$ and $y$ must be greater than $2010$.
2 replies | 98 view(s)
• February 17th, 2017, 01:20
Can't we fit another 300x700 in the scrap at the right of size 300x1000? (Wondering)
11 replies | 126 view(s)
• February 16th, 2017, 09:40
Variation on Ifdahl's solution: Let $y = x + \frac1x$. Then $\bigl(\sqrt{y+1} + \sqrt y\bigr)\bigl(\sqrt{y+1} - \sqrt y\bigr) = y+1-y = 1$....
3 replies | 123 view(s)
• February 15th, 2017, 20:29
You have two points on the graph, so you can compute the slope as follows: m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} Then, you can...
2 replies | 58 view(s)
• February 15th, 2017, 18:02
My attempt: Given the equation: \ Let $y = x+\frac{1}{x}$. Squaring the given equation:
3 replies | 123 view(s)
• February 15th, 2017, 00:27
I like Serena replied to a thread [SOLVED] Tests in Advanced Probability and Statistics
That looks correct yes. (Nod)
16 replies | 174 view(s)
• February 14th, 2017, 23:47
Yes, the derivative of the function evaluated at the $x$-coordinate of the tangent point will give you the slope $m$ of the tangent line. :)
4 replies | 89 view(s)
• February 14th, 2017, 23:18
The first derivative of a function gives you the slope of the tangent line, not the tangent line itself. Thus,for some function $f(x)$, the tangent...
4 replies | 89 view(s)
• February 14th, 2017, 22:17
Let's try your substitution of: u=x+9\implies du=dx I=\int_9^{18}\frac{(u-9)^3}{u^2}\,du By the binomial theorem: ...
1 replies | 47 view(s)
• February 14th, 2017, 18:15
I like Serena replied to a thread [SOLVED] Tests in Advanced Probability and Statistics
We need another section on that same page where it says unequal variances... (Thinking)
16 replies | 174 view(s)
• February 14th, 2017, 17:48
I like Serena replied to a thread [SOLVED] Tests in Advanced Probability and Statistics
Hmm... that table gives $F^*=1.03$ for $\alpha=0.05$, $DF_1 > 1000$, and $DF_2 > 1000$. And we had $F=1.19$, so that implies we need to assume...
16 replies | 174 view(s)
• February 14th, 2017, 17:37
I like Serena replied to a thread [SOLVED] Tests in Advanced Probability and Statistics
That looks as if it's about the degrees of freedom for the t-test we're going to do. And that depends on whether we're going to do the t-test with...
16 replies | 174 view(s)
More Activity

### 7 Visitor Messages

2. Sorry... There seems to be an echo in here [my fault! ]
3. Hello K!

I just wanted to say, i think you do an absolutely sterling job posting all sorts of brain-teasers on the Puzzles board. Keep up the great work!

Gethin
4. Hello K!

I just wanted to say, i think you do an absolutely sterling job posting all sorts of brain-teasers on the Puzzles board. Keep up the great work!

Gethin
5. Hi there,

I didn't realize Mark has already taught you how to type square root in LaTeX... and what I mentioned in the challenge thread that we both participated is essentially the same as Mark's ...
6. Hey Kali,

To create a square root using $\LaTeX$, use the command \sqrt{} where the radicand goes in the braces. For example:

\sqrt{x^2+y^2} gives you $\sqrt{x^2+y^2}$

To create other roots, use the command \sqrt[]{} where the degree of the roots goes in the square brackets. For example:

\sqrt[n]{a^m}=a^{\frac{m}{n}} gives you $\sqrt[n]{a^m}=a^{\frac{m}{n}}$

Hope this helps, and please do not hesitate to ask me if you need to know any other $\LaTeX$ commands.

Best Regards,

Mark.
7. Hello and welcome to MHB, kaliprasad!

If you have any questions or comments, pleases feel free to address them to me or another staff member. We are happy to help, and we look forward to your participation here!

Best Regards,

Mark.
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#### February 10th, 2017

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Name: Secondary School/High School POTW Award (2016)
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Name: Secondary School/High School POTW Award (2015)
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