**here**and

**here**.

- Sun May 15, 2016 12:32 pm
- Forum: Calculus
- Topic: How to prove the following function is increasing function?
- Replies:
**5** - Views:
**73**

- Sun May 15, 2016 12:29 pm
- Forum: Calculus
- Topic: How to prove the following function is increasing function?
- Replies:
**5** - Views:
**73**

- Sun May 15, 2016 12:27 pm
- Forum: Calculus
- Topic: How to prove the following function is increasing function?
- Replies:
**5** - Views:
**73**

I am stuck on figuring out why the following function is a increasing function when I read a paper. The function is following f(x)\, =\, \dfrac{(x\, -\, 1)\, c^x\, -\, 2x\, c^{x-1}\,+\,x\,+\,1}{2^x\,-\,x\,-\,1}, \, \mbox{ with }\, 1\, <\, c\, <\, 2\, \mbox{ and }\, x\, >\, 2. This a...

- Sat May 07, 2016 1:22 pm
- Forum: Matrix (Linear) Algebra
- Topic: find rotation matrix in n dimention
- Replies:
**2** - Views:
**73**

A fairly complete reply is posted **here**.

- Thu Jan 28, 2016 10:04 pm
- Forum: Matrix (Linear) Algebra
- Topic: matrix notation
- Replies:
**1** - Views:
**386**

Apologies, but I'm drawing a blank. Kindly please provide the exact text (or scan) of the "something" which generated your query. Thank you.

- Wed Jan 06, 2016 9:39 pm
- Forum: Calculus
- Topic: One more question: line tangent to y=2 sin(2 x+(3pi/4)) at x=pi/8
- Replies:
**4** - Views:
**850**

bookwrm98 wrote:So pull out the 2, then do the derivative of sin(f(x)), and the final derivative equals 4cos(2x+(3pi/4)), then just find the line from there. Is that right?

You are correct.

- Tue Dec 15, 2015 3:30 am
- Forum: Matrix (Linear) Algebra
- Topic: Find basis and dimension of a vector space
- Replies:
**4** - Views:
**642**

\mbox{Find the basis and dimension of }\, V,\, W,\, V\, \cap\, W,\, V\, +\, W,\, \mbox{ where} To find the basis (singular) and dimension (singular), what follows would generally be required to be a singular item. But what follows appears to be a listing of (four) spaces. Which interpretation (sing...

- Fri Dec 04, 2015 8:43 pm
- Forum: Calculus
- Topic: x^2: any relation between d(x^2)/dx = 2x and diff. between 1, 4, 9, 16, ..., ?
- Replies:
**1** - Views:
**561**

Is there a relation between the fact that the derivative of x^2 is 2x and that the difference between 1,4,9,16, ... is 3, 5, 7, 9, ...? And why is the difference always 2? Are you perhaps referring to what is discussed on this page starting a little past halfway down the page? One might find it use...

- Fri Nov 20, 2015 11:53 pm
- Forum: Matrix (Linear) Algebra
- Topic: Markov Chain Help
- Replies:
**1** - Views:
**618**

So I know that a Markov chain has the following transition matrix... A = [0.4251 0.0334 0.2417 0.1904 0.1346;0.2354 0.2624 0.1606 0.1185 0.0438;0.0445 0.1936 0.1805 0.1621 0.4802;0.1098 0.042 0.3739 0.2305 0.2436;0.1852 0.4686 0.0434 0.2984 0.0978] Does the above intend the following in standard no...

- Thu Nov 19, 2015 12:58 pm
- Forum: Trigonometry
- Topic: Stack of 1" balls
- Replies:
**2** - Views:
**600**

Four 1-inch balls stacked in a triangular pyramid, 3 on the bottom layer, one on top.... How high is this stack of balls? My best physical measurement is 1.81 with a surface plate, precision balls and a height gauge, but I can't mathematically back it up with the correct answer. Help? My first atte...