Why does a^(3/2)*(1/a)^(3/2) not return 1 in maple? Sorry for the basic question, I'm just not sure what I'm missing.

I'm supposed to use a CAS to integrate (4*v*(m/(2*Pi*k*T))^(3/2)*Pi*v^2)*exp(-m*v^2/(2*k*T)) for v from -infinity to infinity. I know the answer should be sqrt(8*k*t/(Pi*m)), but I can't seem to get Maple to evaluate the limit once it integrates the expression. Any help is greatly appreciated. Let me know if I need to provide more information, I'm a bit new to the forums :)

Hi

I found the roots of a polynomial t^6+t^3+1 by hand, now i want to see if these values in the form exp(a*I/(b*Pi)) satisfy the polynomial, how can i do this?

Hey all. I'm looking at trying to generate a complete list of all maps from the integer plane to itself that have a maximal coordinate change (plus or minus) of n. Basically, I devised two wave functions that travel componentwise around the 8*n points d_inf=n from the origin, and am trying to use them to list every single equivalent map with such a metric-distance, from a point (x,y). Listed here is my current code, the problem I have on execution is that the i terms evaluate to that name as opposed to the assigned value.

Hi there

i'm trying to plot the phase portrait of a 2nd order ODE and i just cant get those damn arrows to come up. i've managed some solution curves but i'd like to see the phase portrait and maybe make an animation to see how it changes but i'll worry about that once i can get the arrows.

Dear all:

    I want to plot a function(say, z=x^2+y^2) on a nonsqure region(say, x^2+y^2<=1). What I did is to manually define a procedure so that it returns the function value if the sample point is inside the defined regioin, null otherwise.

region:=proc(x,y)
  if x^2 + y^2 <= 1 then
      return x^2+y^2;
   else
      return null;
   end if:
 
 end proc;

any info on the Jacobi iterative scheme

to get me started. please

consider the system

2x1 + x2     = 1

 x1 + 4x2 + x3 = -1

           x2 + 2x3=3

Find x using the Jacobi iterative scheme with x= (0,0,0)

My colleague at the university next week give a lecture where he tells about the Hardy-Ramanujan partition functions, the usual

notations are p(n) and q(n). He asked me, could I calculate by Maple a definite integral, because the answer was yes, then he

would say "by Maple".  I tried it in different ways, but no success. Could someone calculate it?

The exact result is  -1/2 ln (2 Pi) .

Hi. I have a couple of questions:

True or false? Why?

1. If f and g are differentiable and f(x) is greater than or equal to g(x) for a<x<b, then f ' (x) is greater than or equal to g ' (x) for a<x<b.

2. All continuous functions have antiderivatives.

Thanks!

hey guys.. ive been trying to get the root of the following equation.. but watever i do i am getting only the positive value.. and i have another equation which has 5 answers.. but only 1 is being shown.. can u help me out??

>f0:=x->x/(sqrt(x^2 + cos(x-1))):
>f1:=D(f0):
>f2:=D(f1):
>a:=fsolve(f1(x)=0,x);
                                a:=3.639062685
 

hi, how do i perform the following operation and simplfy?

(4a- 3ab + 2b) + [ (2a- 4b) - ab ]

We are contemplating using Maple TA.  I have been playing with a trial and it looks quite good.

If you read the Maplesoft advertising,  you get the impresion that a lot of Universities out there are using TA. 

On the other hand, the (rather variable quality) mapleapps question banks resource does not really contain a huge amount of material.

Hello all,

When I tried to plot with "semilogplot" command, I've found the ticks on the x-axis and the vertical grids do not line up. This is with Maple 10. Would somebody tell me if there is a way to line them up?

with(plots):

semilogplot(log[10](x), x=1..1000, gridlines=true);

Thank you.

Chin Li

Hi there.

I have two vectors:

x1:= [ ( 1+sqrt(1-4*a^2) )/(2*a) , ( 1+sqrt(1-4*a^2) )/2 ];

x2:= [ ( 1-sqrt(1-4*a^2) )/(2*a) , ( 1-sqrt(1-4*a^2) )/2 ];

I have the following questions to complete:

(2)Determine when x1 and x2 are both real

(3)Determine the largest interval I=(c,d) (with d>0) such that x1 and x2 are real and distinct.

The answers are obvious on paper, but I have to calculate this with Maple.  How do I go about this?

Thanks