## how to calculate a definite integral with a param...

I want to calculate a definite integral with a parameter S(assume S>0),which is as follows: The link can be found in the View 3216_how to calculate the difinite integral.mw on MapleNet or Download 3216_how to calculate the difinite integral.mw
View file details in maple 10 ,it always gives a trivial solution ,can it

## numerical differentiation / fdiff...

Is there a way to use fdiff for functions, which allow only numerical input? It seems that fdiff is sending symbolics and that would not work in my case of interest (and I want to avoid to code such stuff, especially how to get the appropriate step size automatically ...). Related to Maple I only find this (general) source, but no according paper: M. Monagan, E. Cheb-Terrab A numerical differentiation routine for computing single, multiple and partial derivatives to arbitrary precision. This enables us to compute numerical values of derivatives of special functions for whic

## 3D Plot - Intersection of Plane with Sphere and Te...

Given is a sphere and a tetraeder. How can I (calculate and) plot the intersection of a plane with both objects? The intersection shoud be a circle and a triangle (in 2D or 3D). I tried a lot, but it didn't work out at all. The intersection command just works e.g. with two spheres. Many thanks for any help in advance!

## Using Maple's sum fuction to generate Legendre pol...

I have solve the Legendre equation (1-x^2)y''-2xy'+alpha(alpha+1)y=0. The solutions are: y1=1-alpha(alpha+1)x^2/2! +alpha(alpha-2)(alpha+1)(alpha+3)x^4/4! +sum{(-1)^m [(alpha-1)...(alpha-2m+2)][(alpha+2)...(alpha+2m-1)]x^2m/(2m)!} y2=x-(alpha-1)(alpha+2)x^3/3!+(alpha-1)(alpha-3)(alpha+2)(alpha+4)x^5/5!+sum{(-1)^m[(alpha-1)...(alpha-2m+1][(alpha+2)...(alpha+2m)]x^2m+1/(2m)!} I tried to obtain a Legendre polynomial, say P5(x), with Maple'sum function by plugging in the general expression but I do not obtain the correct answer. Can someone indicate how this can be done. Thank you kindly.

## Plots...

Is it possible with Maple to make contour plot of a function defined by its values in 2D grid?

## Passing arguments to proc...

Hello, how to write function such inc or succ in Pascal. This code  inc := proc(x) x := x+1; return x; end proc; A := 10; inc(A);  gives an error  Error, (in inc) illegal use of a formal parameter 

by: Maple

## Problem with spline integrating......

Hello! I have the cubic spline S=S(t) defined on 1<=t<=3, and I need to calculate such integral:int((diff(S,t)^2+1)^(1/2),t=1..3);
When I try to calculate this integral, maple8 says:"undefined"...
What is the problem?

p.s. maple code:
x:=[1,2,3];
y:=[1,0,2];
with(CurveFitting);
S:=spline(x,y,t,cubic);
int((diff(S,t)^2+1)^(1/2),t=1..3);

Hi, When I open maple and start a session I load a number of packages. For example: with(...) with(..) Now, when I open a new worksheet/file in the same session, do I have to reload the packages? TIA Larry Ciak

## Help on a plot problem, plot symbol, subscript...

Hi, I need some help on plot and I am still new. Hope someone can take care of my questions, thanks first! I want to plot a figure. And I want to the x-axis label shows \phi_1; and y-axis label shows \Pi. I want to show them with the subscripts "1 and t" And I want to show the figure title as "V_L=20, \gamma=1". Can maple do this? Thanks a lot!

## subsitution of a variable with a certain power in ...

Hi Everyone, I am trying to make a special substitution which neither  subs  nor  algsubs  seem to be able to make. I have long polynomials (maybe with 3000 terms), but for the sake of clarity here is an example with a short one: Poly:=a[1]^3+a[1]*a[3]^2+a[2]+a[1]*a[2]; Now I would like to substitute a[1] by a[1]^2, but only in the terms that have a[1] (to the power of one). (It is important that the a[1]^3 in the original Poly is not changed to a[1]^6 ). So after substitution the polynomial should become: Poly:=a[1]^3+a[1]^2*a[3]^2+a[2]+a[1]^2*a[2];

## displaying multiple plots...

why won't this display my graphs: g:=x->sin(Pi*x/6): h:=x->((7.4*10^22)/(3.84*10^8)^3)/((2*10^30)/(1.5*10^11)^3)*sin(4*Pi*x/(24+5/6)): A:=plot(g(x),x=0..24*7): B:=plot(h(x),x=0..24*7): display(A,B);