Here is an example to get you started. There are many ways to do this. I used the code below because I copied it from a previous post of mine where I had a sphere instead of a square as part of the animation. After executing the code, you can right click of the graph, go to animation, and click play to watch what happens. Then you can change the code for your particular case. >restart: >with(plottools): >with(plots): >c := rectangle([0,1], [1,0]): >d := rectangle([1,2], [2,1]): >e := rectangle([2,3], [3,2]): >f := rectangle([3,4], [4,3]): >g := rectangle([4,5], [5,4]): >display(c,d,e,f,g, scaling=constrained, style=patch, axes=boxed,insequence=true); Regards, Georgios Kokovidis Dräger Medical

An example. Replace f(s) with your function. See plot help page for more examples. >?plot >restart: >f:=s->s^2; >plot(f(s),s=-6..6,y=0..10); Regards, Georgios Kokovidis Dräger Medical

Adding to the above examples, you can do it using the built in tools as well. For non-experienced users, it might be easier to obtain the x-values this way. >restart: with(Student[Calculus1]): >ExtremePoints( 9*x+21/(x-13) ); [13-1/3*21^(1/2), 13+1/3*21^(1/2)] evalf(%); [11.47247477, 14.52752523] Regards, Georgios Kokovidis Dräger Medical

You can use the built in Tutor. Go to Tools, Tutors, Calulus - Single Variable, Newton's Method... and click. This will bring up an applet that will allow you to solve for the roots of a function using Newton's method. Regards, Georgios Kokovidis Dräger Medical

I am not exactly clear as to what you want to confirm, but I will guess and use an example. For more details, take a look at the help file for the series command: >?series I will compute the sin of Pi/6 and compare that to the series expansion of the sin function with Pi/6 plugged in to see what the results are as the number of terms increases. You can do this with the function of your choice to see what happens as the number of terms gets bigger. Be aware that when you do this, the polynomial becomes very sensitive to small changes in x. >restart:Digits:=20: >s1:=series(sin(x),x=0,5); >a1:=convert(s1,polynom); >x:=Pi/6; >evalf(a1); >evalf(sin(Pi/6)); >restart:Digits:=20: >s2:=series(sin(x),x=0,10); >a2:=convert(s2,polynom); >x:=Pi/6; >evalf(a2); The above should give you more insight as to what happens when you expand a function to a series and the dependencies that arise relative to the number of terms that you expand the series to. Few terms will yield a very course approximation while many will yield a closer approximation. Regards, Georgios Kokovidis Dräger Medical

The sine integral and cosine integral are built in to Maple. Take a look at the help page: >?Si Regards, Georgios Kokovidis Dräger Medical

What you are seeing is the difference between the Classic Interface and the "New" Windows Interface. Maple 10 Windows Inerface vs. Maple 11 Windows Interface behaves differently for me for the code posted by Mariner. Using the Classic interface it behaves the same in both v10 and v11. Try cutting and pasting the code into a Classic Maple worksheet and it will behave as it was intended. Regards, Georgios Kokovidis Dräger Medical

I am assuming that you substituted t=30 in your function. To plot it you need an independent variable (t). The code below will plot this, where t is in minutes. If t is not in minutes, then you need to convert it to minutes. The function looks like it asymptotes at 32. >plot(32+127*exp(-.3456*t),t=0..30); Regards, Georgios Kokovidis Dräger Medical

Browse to the Maple Applications Center here, and click on Maple for Physics Students. You have to log in to access this. There is another physics link here. Regards, Georgios Kokovidis Dräger Medical

Use the numeric option to get all of the points. See the help file for details. >?CriticalPonts >restart: >with(Student[Calculus1]): >CriticalPoints(((x-1)^2)^(1/3)-.5*x^2, x,numeric); [-.5732093133, 1.000000000, 1.180229770] Regards, Georgios Kokovidis Dräger Medical

Plenty of examples on the web and the Maple applications center that you can study and modify for your particular function. See link below. Right click and save to your local directory. Then navigate there with Maple and open. Click the !!! button to execute the worksheet or the ! button to execute line by line. Example Apps Center Example Regards, Georgios Kokovidis Dräger Medical

Try >D(ax_c); instead of >diff(ax_c,t); and see if the result is more in line with what you are looking for. See >?D for more help on the D operator. Regards, Georgios Kokovidis Dräger Medical

Example plot below with "Greek Lables". Combined with Acers' commands above, you should be able to get what you are looking for. With that said, one might ask why there isn't a better way to do this. I can't imagine a new user figuring out how to get "textplot([0.6,0.8,typeset(`#msubsup(mi("p"),mi("gt"),mo("*"))`)]);" and not shoot their computer a couple of times. >restart:with(plots): >f:=sin(lambda); >a:=plot(f,lambda=0..2*Pi,labels=[lambda,theta]): >b:=textplot([0.6,0.8,typeset(`#msubsup(mi("p"),mi("gt"),mo("*"))`)]); >display(a,b); Regards, Georgios Kokovidis Dräger Medical

Take a look at the help file for the printlevel command. The output is not as neat as you would like it, but it does show the steps Maple takes to solve a problem. The value of 9 that I chose is arbitrary. You can increase or decrease to see different levels of "verbose" output. >?printlevel >restart: >printlevel:=9; >solve(x^2+3=28,x); Regards, Georgios Kokovidis Dräger Medical

From a previous Mapleprimes thread dealing with the Sieve. help-about-sieve-of-eratosthenes Regards, Georgios Kokovidis Dräger Medical