I am trying to plot a graph of two functions and fill between the two lines. The code I have seems to work as I type it, but when I remove the output and re-execute it completely ignores the 'white' fillings. Here is the code I have so far: restart:with(plots): First I assign to u and v to the equations. u:=0.21e-1*x^3-0.947e-1*x^2-1.77*x+1.79; v:=-0.451e-2*x^3-0.473e-1*x^2+.243*x+4.74; Then I plot the functions and find the intercepts. plot([u,v],x=-8..11,y=-9..7,color=[blue,green]); inters:=fsolve(u=v); x_int_u:=fsolve(u); x_int_v:=fsolve(v); Plot again and shade the regions of interest.

I have an exam in vector analysis soon, and it happens quite often we're supposed to parametrize the surface of as solid. Is there a way to get maple to plot the solid so it's simpler to visualize the current situation? Suppose for example that E is the solid defined by x^2+y^2+z^2=<>a^2 with a some constant and =<> means greater than or equal to. Suppose S is the boundary-surface of E. How do I plot S in the easiest way? It's for use for an exam so time is precious.

I need to integrate a function from either 0- or 0+ to infinity. While there is no problem entering the upper limit, how is it possible to enter either of the lower limits?

What would be the simplest or fastest way to replicate this http://www.research.att.com/~njas/sequences/A004601
sequence using Maple? Thanks.

Inspired by the blog post Find a point in every region defined by a system of linear equations, I have come up with the following method to find a point inside each bounded region. The assumptions are:

• No two lines are parallel.
• No three lines are coincident.

Due to numerical instability, it seems, using floats, the coefficients of the equations of the lines are taken to be integers (they could also have been taken to be fractions, of course). Then the method goes like follows:

Hi there, I'm doing some computations involving polynomials in Maple. As some of the routines take slightly longer to finish, I tend to run them on a machine at my university, via ssh. For this, I need to use command-line Maple. While Maple's 2-D output works well in xmaple, the output in command-line Maple is useless, especially if one needs to reuse the results produced by a procedure. Instead of using something that is supposed to look like 2-d output, it would be much more helpful to have command-line Maple return its output in 1-D Maple notation. For a polynomial, for example, I would much rather have

So I write this as a function: zurflu14 := t->A*exp(-k*t); now I want the same thing with the derivative but doesnt seem to work.. dzurflu14 := t->diff(zurflu14(t),t); I have tried it many ways, what am i missing? I want the same functionality to evaluate at any value. Thanks in advance!

I am having a problem using fsolve. When I input the command it just spits it out right back at me almost exactly how I typed it in. I have come across this before and I just started over but I have been working on this worksheet for hours, can anyone help?

(Sorry, this is reposting my earlier question that was submitted into a wrong place.) I want to (triple)integrate f(x,y,z):=7z on the cylinder x^2+y^2<>

Is possible to create literal subscript in atomic form without mouse?? In particular I need to create variable names with subscript in an automatic procedure, so I cant use the mouse (Convert To - > Atomic Identifier). Thanks!

How do I lock plots so that every time I execute the document the plot won't revert to default settings? Thanks Dgiznya

Hello Maple experts, lets assume I want to minimize some complicated objective function (procedure) objective(x1,x2,...,xn) with many problem variables. In order to use Maple's Optimization package, I have to specify all the arguments of my objective function in the form objective := proc(x1,x2,...,xn) ...some complicated computation... end proc: However, this has to be written manually and for many variables, say 100 or 150, this is not very elegant. Isn't there a more elegant way of creating a procedure that is suitable for the Optimization package or the Global Optimization Toolbox?

Is there a way to generate 256 equations of the form

Eq256:= {e1>0,e2>0,e3>0, e4>0,e5>0 e6>0,e7>0,e8>0}
Eq255:= {e1>0,e2>0,e3>0, e4>0,e5>0 e6>0,e7>0,e8<0}
.
.
Eq1:= {e1<0,e2<0,e3<0, e4<0,e5<0 e6<0,e7<0,e8>0}
Eq0:= {e1<0,e2<0,e3<0, e4<0,e5<0 e6<0,e7<0,e8<0}

The < can be thought of as a binary 0 and the > as a binary 1 so there are 2^8 equations.

I want to call a procedure that does the above with something like

For i = 1 to 256 do
eq:=getequ(i):# getequ:=proc(i) returns the automatically generated equation
LinearUnivariateSystem(eq,x);
end do;


I can do it all by hand but what a pain.

How do I find a point in every region defined by a system of linear equations? I have a system of eight linear equations of the form Ai.x+Bi.y=0 (i=1..8) Ai and Bi are numerical values. If I plot all eight equations on one graph then I get numerous bounded regions defined by three or more of the equations and numerous unbounded regions defined by two or more of the equations. (It is possible – though unlikely - for two of the solutions to be parallel or collinear. ) My aim is to find one point – any point does - within every bounded region and one in every unbounded region. It is easy to do this by inspection.

I am coloring the xy plane, by using a procedure(x,y) to assign color. The procedure returns a number and color is assigned according to that number. It works fine but I really want some of the points to be colored BLACK. What numerical value do I use for BLACK? WHITE?