How to find the limit
limit(int(abs(sin(f(x))), x = 0 .. T)/T, T = infinity) assuming T::positive;
with Maple in the cases: a) f:=x->x^2; b) f:=x->x*exp(x)?

PS. Or to establish its nonexistence.

Hi all,

To share a maple document, I found this Maple help.

To share worksheet content:
1. In Maple, open the worksheet that contains the content you want to share.
2. If you want to share a worksheet selection, select the text and objects in the worksheet. If you want to share an entire worksheet, you do not need to select any text or objects in the worksheet.
3. Expand the MapleCloud palette.
4. From the drop-down list in the palette, select...

Ive tried this for hours and can't get it to work. Any help would be greatly appreciated. I need to 

find a 10 significant figure approximation to the 10^th derivative of

evaluated at x = -2.

Ive tried using this maple command:

evalf(subs(x=-2,diff((sin((x^2...

Why do I get different results for these four command? BTW only Result #2 is correct.

> evalf((1/2)*sqrt(3.0), 5);
                            0.86605
> evalf((1/1)*sqrt(3.0*(1/4)), 5);
                            0.86603
> evalf((1/1)*sqrt(3/4), 5);
                            0.86605

> evalf((1/2)*sqrt(3), 5);
                            0.86605

I have read the answer to a similar question, 

I want to wrap a 3d matrixplot histogram around the surface of a cylinder.  How can I do that?

If my matrix is a random 12x12 matrix and I use heights=histogram to plot it

restart;gc();
a:=Matrix(12,12,rand(1..20))

with(plots):
b:=matrixplot(a,heights=histogram,shading=zhue)

and map it onto a surface...

Hi,

I have this dataset of 3d points. It looks like [[x, y, z], [[x, y, z] ... [x, y, z]]. The y values represent days and can occur multiple times.

I would like to plot a surface from the data. I can plot the curves representing each of the different day values. It looks like the one below (might not be the most elegant solution ;-)). I would like to connect the curves with a surface. I have already looked at listplot3d without luck.

Thank you.

Hi

I would like maple to provide the coefficients of the derivatives of a PDE. For example:

Given PDE: 2Uxx+6Uxy+3Ux+2U=0

 Provide the coefficients of: Uxx Uxy Uyy Ux Uy U

I would like to get something like: 2 6 0 3 0 2

I tried "dcoeff" and "collect", but they don't seem to work for me

Thanks!

Uri

I want to construct a functional with

f:=unapply(diff(eta[i],x)=k[i]*e[i], i);

but get

f:i->0=k_ie_i

Any one can help me? 

Hello,

I want to randomly generate variables and numbers that look something along the lines of this:

(3x)(-2y²₎
(-3x²y⁴) (4x²)
(-b²y⁴) (2b²)
(-3x²y⁴) (4x²y⁴)
(4x)(5x²₎



Here's my code so far:

for k to 5 do

V := LinearAlgebra:-RandomVector(2, generator = rand(1 .. 9));

The result of "1/3 mod 7" is "5",how to understand it?What's the syntactic rule behind it?

hello,

I have a .txt file with 1000 lines of data.

This data was collected from an electronic compass located in a car moving in different directions.

Each line was written in function of time,every 0.1s.

Each line has 4 columns, and each column represents a cardinal point.

1st column--->North, 2nd column--->East, 3rd Column South---> 4th column West

768------768------768------2

768------768------768------2…

This is an animation which I learn a maplesoft blog written by Mr. Robert Lopez. As the animation illustrated, the red segment is the normal to the green curve(y=x^2). One endpoint (assuming point1) of the segment is the intersection of the normal and the blue curve(y=x^2+1). But when running the animation, it seems that the red segment becomes unexpected when -0.5<a<0.5.

The last question im going to be asking for a while.

Im trying to find a function which in the form of a spiral crosses the x-axis at 45 degrees. Now i can only think of one function that fufills this, that would be the tan function since at Pi/4 it would give me 1 fulfulling my question. But making a function which fufills it not so easy, i know i have to use the polar differentiation but im having trouble inputting it into maple

Any help?

Thank you!

Why isn't DEplot working when my syntax is correct? The equation will plot in one worksheet but not in another?