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

Re: How to prove the following function is increasing function?

Note to other viewers: This user has posted similar questions here, and has "voluntarily" removed them from here.
by nona.m.nona
Sun May 15, 2016 12:27 pm
Forum: Calculus
Topic: How to prove the following function is increasing function?
Replies: 5
Views: 73

Re: How to prove the following function is increasing function?

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

Re: find rotation matrix in n dimention

A fairly complete reply is posted here.
by nona.m.nona
Thu Jan 28, 2016 10:04 pm
Forum: Matrix (Linear) Algebra
Topic: matrix notation
Replies: 1
Views: 386

Re: matrix notation

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

Re: One more question: line tangent to y=2 sin(2 x+(3pi/4)) at x=pi/8

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

Re: Find basis and dimension of a vector space

\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...
by nona.m.nona
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

Re: x^2: any relation between d(x^2)/dx = 2x and diff. between 1, 4, 9, 16, ..., ?

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...
by nona.m.nona
Fri Nov 20, 2015 11:53 pm
Forum: Matrix (Linear) Algebra
Topic: Markov Chain Help
Replies: 1
Views: 618

Re: Markov Chain Help

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...
by nona.m.nona
Thu Nov 19, 2015 12:58 pm
Forum: Trigonometry
Topic: Stack of 1" balls
Replies: 2
Views: 600

Re: Stack of 1" balls

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...

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