eq:= a^9+9*a^8*b+36*a^7*b^2+84*a^6*b^3+126*a^5*b^4+126*a^4*

b^5+84*a^3*b^6+36*a^2*b^7+9*a*b^8+b^9;

eq is an expanded form of (a+b)^9

Using the factor command, I can get back to where I started.

factor(eq);

(a+b)^9

I have a feeling this is not what you are looking for.  In that case, you might want to look into the "gfun" package.

From the help pages of the int command:

Indefinite integration is performed if the second argument x is a name. Note that no constant of integration appears in the result. Definite integration is performed if the second argument is of the form x=a..b where a and b are the endpoints of the interval of integration.

That's the way Maple does it.  If you want it, you have to add your own.
 

Alec answered a similar question a while back.  See the link here.  The answer to part 2 of your question is yes.  Just use the "display" command.

>restart: with(Student[Calculus1]):
>Roots( sin(3*x)=cos(5*x) ,0..5,numeric);

[.1963495408, .9817477042, 1.767145868, 2.356194490, 2.552544031, 3.337942194, 4.123340358, 4.908738521]

>identify(%);

[1/16*Pi, 5/16*Pi, 9/16*Pi, 3/4*Pi, 13/16*Pi, 17/16*Pi, 21/16*Pi, 25/16*Pi]

How about using the buillt-in version:

I - root of x^2 = -1
 

> z1 := -3*I*(2+I)*(3+2*I)*(1+4*I);
> zz1 := -18*I-93*I^2-90*I^3-24*I^4;
> z2 := (2+4*I)*(-1+3*I)/((1+I)*(4-I));
> zz2 := -2/((1+I)*(4-I))+2*I/((1+I)*(4-I))+12*I^2/((1+I)*(4-I));

                           z1 := 69 + 72 I


                           zz1 := 69 + 72 I


                                 -32   26
                           z2 := --- + -- I
                                 17    17


                                 -32   26
                          zz2 := --- + -- I
                                 17    17
 

 Are those the results you were looking for?

There are plenty of code examples on the web.  Here is a link.  There are more.  Search for "Maple  Aitoff Projection".

I tried the code above in both Maple 12 and Maple 9.5 and it works without error.  Here is a worksheet done in Maple 12.  When you open it, do you see the same error that you reported.  I used the logn form of the plot command, by loading the plots package first.

View 221_slope_field.mw on MapleNet or Download 221_slope_field.mw
View file details

I see the same error using Maple 12 .02.  Using Maple 9.52, I get the image below.

With Digits set to 10, you are probably running into roundoff error.  Try increasing Digits to 20 or higher, and see if you get more consistent results.

The following works for me using an earlier version of Maple.

restart:

Int(exp(-24358.0/x),x=295..1970)=int(exp(-24358.0/x),x=295..1970);

Int((exp(-24358.0/x)/x),x=295..1970)=int((exp(-24358.0/x)/x),x=295..1970);

I changed -24358 to -24358.0 to get the floating point result.  I also used exp to respresent "e". 

?plottools[line]

Here is one way to do this.  Replace the path with your own data file.  The example below reads in data that is 2 columns wide.  It is in a file called altitude.dat.  It can have any extension.  The data looks like this:

0.000    26.515
0.753    53.030
1.505    212.121
2.258    437.500
3.011    875.000
3.763    1405.303

restart:
with(plots):
a:=readdata("C:\\temp\\altitude.dat",2):
pointplot(a,axes=normal,symbol=box);

Here is a link to a previous post that looks similar to what you are doing.

Visit the Maple Applications Center, and take a look at some of the examples that are posted there.  Here is one example.

There are other ways to plot vectors in Maple.  Below is one of them.

> with(plottools):
> l1 := arrow([-3, 5], [-1, 8], .2, .4, .1, color=red):
> l2 := arrow([-1,8],[4, 6], .2, .4, .1, color=blue):
> l3 := arrow([4, 6], [8, -4], .2, .4, .1, color=green):
> l4 := arrow([8,-4],[-3, 5], .2, .4, .1, color=black):
> plots[display](l1, l2,l3,l4, axes=normal);

See also the help file for the arrow command in the plots package.

?plots[arrow]