First I know that the Newton-Raphson formula gives N(z)=z-(f(z))/(f'(z)). If f(z)=z^+1, then N(z)=(z^2-1)/2z

Then the Question asks me to first define two important functions which I did:

1)T(z)=z-i/z+i where is i is imaginery number, 2)N(z)=z^2-1/2z. Hence, I wrote the following in maple:

>T:=z->(z-i)/(z+i)

>N:=z->(z^2-1)/(2z)

Then I was asked to show that T(N(z))=(T(z))^2, so I wrote the following commands:

>z:=2

>T(N(z))-(T(z))^2 (I got zero for their difference, so they are equal)

next, the question said the same wave verify that T(N^2(z))=(T(z))^4, so i wrote:

>T(N^2(z))-(T(z))^4 (but I got 0.3239121662-1.392199407I which is a complex number, not zero but WHY?)

and the rest of the questions are as follow:

1) What will be the general result? <-I don't what does it mean by general result :S

2) T(N^k(z)) will be what power of T(z)? <-Is it power of 2k?I have no ideas.

3) Try T(N^3(z)).<-which I know that T(N^3(z))=T(N^2(N(z))), so does T(N^2(N(z)))=(T(z))^6 then?

It would be appreciated If anyone could help me with this/clear up my confusion with questions. thanks.

I have a statistics task that is very complicated to me, and I would really appretiate some help!

I believe that I have completed task a, but task b and c seems to be too hard for me to grasp.

Here is a presentation of the task text:

xi 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
yi 12.3 12.8 16.8 17.9 20.5 22.7 24.9 27.5 26.9 29.4 30.3 34.2 36.4 36.7 41.1

Assume that the data represents independent realizations of a "linearlnormal" model.

Yi = α + βxi + ei i = 1..15,

where ei˜N(0,σ), where sigma is unknown.

(a) create a scatterplot of the data {f(xi,yi)}15 ; i=1
Then calculate the empiric correlation coefficient.

(b) Find the minimum least square estimate for α & β.

(c) Create a 95% confidence interval for the parameter β. What does this confidence interval express?

Is there anyone out there who are able to help me with some maplecode?

thanks in advance,

Soeta

I was successful in getting the Maple add-in to load into Excel 2013 but the help file accessed in the Add-In Ribbon is not found.  Does anyone know where in Excel that file can be loaded?

I've been given a question:

Let pn denote the nth prime number. Then p1 = 2, p2 = 3, p3 = 5, p4 = 7, p5 = 11, . . . .

It is known that the infinite sum 1/p1 + 1/p2 + 1/p3 + · · · + 1/pn + · · · = infinity.

Find the smallest positive integer N so that 1/p1 + 1/p2 +1/p3 + · · · + 1/pN−1 + 1/pN > e. [Hint : ithprime(n) generates the nth prime number.]

How do I start off?

Many thanks!

Usually maple returns the behaviour about the expansion point, but now I get a series in terms of weird powers...

I think the behaviour is logarithmic, but thats not what maple reproduces.

What results in this behaviour of maple?

limitxkl.mw

Download limitxkl.mw

I have a set of 19 different items I need randomize, lets call them A-S. I tried the Random command, Random(19,A-S) listing all of the possiblities. I want each letter to be used once in that 19 times and using this way does not do that. Is there another command I can use to achieve this?

Hey 

I'm trying to fit a spacecurve onto some points I have. 

I know, I can use Spline to do this in 2D, but it doesn't work in 3D.

What command(s) can I use to fit a spacecurve onto my points? 

Thanks in advance

I have to plot 4 vectors in one graph. I have the following structure:

plot(Vector([12, 12.5, 13, 13.5, 14, 14.5, 15]), Vector([1.622712644, 1.265443137, 1.028604736, .8605013333, .7352916667, .6386248233, .5618945274]), style = line, symbol = asterisk, color = blue)

and 

plot(Vector([12, 12.5, 13, 13.5, 14, 14.5, 15]), Vector([5.483608580, 4.289400489, 3.496793877, 2.933480578, 2.513320599, 2.188469637, 1.930230220]), style = line, symbol = asterisk, color = blue)

Could you help me to plot these two curves in one graph.

please help me to find a solution for this issue...

I would like to thank you in advance

Best regards,

D.L.

Hi, I have encountered a difficult question.

My answer is A=151,B = 47.

Could anyone tell me whether this answer is correct?

The question is as follow:

=∑((120n²+An+B)/(16ⁿ((512n⁴ + 1024n³ + 712n² + 194ⁿ + 15))  (n starts from 0 to infinity)

Thanks in advance.

Hi,

I need to solve following problem, but i m facing memory allocation problem in code. I dont know where memory is consuming.

Download nonlinearx.mw

Thanx in advance.

Regards

Sunit

Hi,

I'm trying to stop integration if the numeric procedure takes more than ~2 seconds and set the value to zero. As an example consider

restart;
st:=time():
answer:= evalf( Int(SphericalY(161,5,x,5)*SphericalY(262,5,x,x), x=0..10));
t:= time()-st;

This takes 0.63 seconds on my computer, but I wish to stop it after 0.1 seconds as an example. Is there anyway to access the inside of evalf(Int...)) and kill it after 0.1 seconds?

thanks,

The question is to solve

x^2*(diff(y(x), x, x))+x^3*(diff(y(x), x))+(x^2-2)*y(x) = 0

and evaluate it where y(1) = 1 and y(2) = 2 to find y(3).

When I do the equation,

ODE := x^2*(diff(y(x), x, x))+x^3*(diff(y(x), x))+(x^2-2)*y(x) = 0

dsolve(ODE) y(x) = _C1/x+_C2*(-sqrt(Pi)*sqrt(2)*erf((1/2)*sqrt(2)*x)+2*x*exp(-(1/2)*x^2))/x

I have gotten an erf. Is this correct?

Hi everyone,

I need to write a program to save some files in both Windows or Unix System.

The structure of the path files is different from windows to Unix, so i want to something like this

if (WindowsOS) then

        pathFILE := "\\MyDirectory\\blabla.txt";

elif (UnixOS) then

       pathFILE := "\/MyDirectory\/blabla.txt";

end if;

Thanks for help.

Hello, 

I am trying to plot an equation with mape,

I give the foloowing comand but I receive a warning which I do not know how to deal with it, I wil be thankful if you can help me.

these are the command and wanring:

plot(eval ((6), {n=10, m=1},k=0.1..0.2)

warning, expecting only range variable k in expression.....

I am trying to use Maple17 to create practice integration problems in which the integrands contain square roots.  I want the students to practice converting square roots, perhaps with fractions, to fractional and/or negative powers.  Hopefully Maple can typeset the integrals if I use the inert form "Int", and also do the integrals for me so I can find the answers quicker than doing it by hand, and not have to worry about making a careless mistake.  The trouble is, Maple is converting the square roots to fractional exponents:

Download DisplaySquareRoot.

Download DisplaySquareRoot.mw

I hope at least one of these works.  To make a long story short, when I display an integral using "Int", how do I prevent Maple from converting square roots to fractional exponents?

GS