Look at the help files for Re and Im. At the Maple prompt, type the following and hit the enter key. >?Re >restart: >imag:=10+sqrt(-10); >Re(imag); >Im(imag); There are more examples at the bottom of the help page. Regards, Georgios Kokovidis Dräger Medical

It looks like the solve command gets stuck with the expanded form of the denominator. This seems like a bug to me. Below are the different forms of the equation that I tried without assigning it to f. Not that this explains anything, but when you know what to expect, you can go back and modify the original problem to "help" Maple do the right thing. >restart: >(x-1)/expand((x-1)*(x+1)*(x-2)); (x-1)/(x^3-2*x^2-x+2) >simplify(%); 1/(x^2-x-2) >solve(1/(x^2-x-2) = infinity, x ); 1/2+1/2*5^(1/2), 1/2-1/2*5^(1/2) >solve((x-1)/(x^3-2*x^2-x+2) = infinity, x ); 1,-1 >solve((x-1)/((x-1)*(x+1)*(x-2))=infinity,x); 1/2+1/2*5^(1/2),1/2-1/2*5^(1/2) Regards, Georgios Kokovidis Dräger Medical

The VecCalc package at the link below has commands to convert between different coordinate systems given a set of points. When converting from rectangular to polar, the angle is given in radians. There are utilities to easily convert a value in radians to degrees and vice versa. The help pages are extensive. There are versions available for Maple V R3 all the way up to Maple V R11. VecCalc Regards, Georgios Kokovidis Dräger Medical

Here are a few links to get you started. There is also a book called Maple Animation published by CRC Press. http://www.calculus.org/Heath/maple_anims.html http://www.aug.edu/math_resources/animate/animate-01.htm Regards, Georgios Kokovidis Dräger Medical

There is a built in function to convert to polar form. >polar(2+3*I); polar(13^(1/2),arctan(3/2)) >convert(2+3*I,polar); does the same thing as the direct form of polar. Regards, Georgios Kokovidis Dräger Medical

Greetings Joe, good work on your previous postings. Those should keep me busy for the next couple of years. With regards to the above posting, there is a small typo in your second line: cfrac(77/45,'quotients); It should be: cfrac(77/45,'quotients'); Once that works I could not figure out how you got cfrac([%[1..-2]); to give you 12/7. I played with continued fractions and was able to get 12/7 as one of the results using the following code: >restart: >convert(77/45,confrac,cvgts); >cvgts; Regards, Georgios Kokovidis Dräger Medical

Good catch Thomas. I always mix these up. Plus, the HTLM tag got me as well. >restart: with(LinearAlgebra): >a:=<0,-8,4>; >b:=<7,6,-20>; >unit_vector:= Normalize(a,Euclidean); >vector_proj:= DotProduct(b,unit_vector) * unit_vector; The following link: http://www.cs.hartford.edu/~bpollina/m220/html/5.2/5.2_OrthogonalProjection.html shows worked examples by hand. Regards, Georgios Kokovidis Dräger Medical

First, start by looking at the help pages for the LinearAlgebra package. There are plenty of examples there. Second, look at the input forms for entering vectors. ?LinearAlgebra ?Normalize ?DotProduct >restart: with(LinearAlgebra): >a:= <0,-8,4>; >b:= <7,6,-20>; >unit_vector:= Normalize(b,Euclidean); >vector_proj:= DotProduct(a,unit_vector) * unit_vector; You can verify this by hand to make sure it is correct. Follow the examples in your linear algebra textbook. Regards, Georgios Kokovidis Dräger Medical

I can show you how to do this in Maple, but the part about how to select which row and what to multiply it with is what you are learning in your Linear Algebra class. There are plenty of examples on the web as to how best to approach this type of problem. Any standard text book on Linear Algebra will show how to do this with step by step examples. The % sign in the AddRow functions below refer to the previous line above that command. >restart: >with(Student[LinearAlgebra]): >A := <<1,-1,1,0>|<0,1,1,-3>|<-2,1,-3,3>|<-1,0,-2,3>>; >AddRow(%,2,1,1); >AddRow(%,3,1,-1); >AddRow(%,3,2,-1); >AddRow(%,4,2,3); Regards, Georgios Kokovidis Dräger Medical

It might be the way you have defined your expressions. When I did this, I highlighted the expression, right clicked with the mouse and copied. Then I clicked inside of the plot area after creating the plot region, right clicked again and pasted. The graph of 40-x^2 showed up right away. Regards, Georgios Kokovidis Dräger Medical

First take a look at the help pages for the AddRow function. ?AddRow Then take a look at the help page for a short cut to constructing a matrix. Type a question mark followed by a vertical bar. ?| For your example above: >restart: >with(Student[LinearAlgebra]): >A := <<1,-1,1,0>|<0,1,1,-3>|<-2,1,-3,3>|<-1,0,-2,3>>; >AddRow(A,1,2,1); The AddRow function will take row one of your matrix and add row 2 multiplied by a scalar value of 1. Row 1 = Row 1 + (Row 2)*1 By doing this over and over with the proper scalar multiplier you can reduce your matrix to row echelon form. Hope this helps to get you started Regards, Georgios Kokovidis Dräger Medical

Scientific Notebook uses MuPad 3.1 as its mathematical processing engine. You can get more info on MuPad by visiting their website. Whether it is easier or harder is a matter of experience and taste. Ultimately, the question is: What is it that you are trying to do? Once you know, you can make an informed decision as to which of the two tools is better suited for your purposes. In this particular user group forum, you will find a heavy bias towards Maple. From a technical standpoint (with a mathematical basis), there isn't much you can't do with Maple. It is a great tool. The more time you spend with it the better it gets. Good luck with whatever package you choose. Regards, Georgios Kokovidis Dräger Medical

The code below visualizes the cone in 3D w/ an intersecting line. Once plotted, you can click and rotate. Scott's method above will give you the intersection points. >restart: >with(plots):with(plottools): >p1:=[implicitplot3d({sqrt(x^2+y^2)=z},x=-4..4,y=-4..4,z=0..4,numpoints=2000,style=patchnogrid,orientation=[27,82],axes=boxed,labels=[x,y,z])]: >p2:=line(([4,0,2], [0,4,4]),color=black,thickness=4): >display3d(p1,p2); Regards, Georgios Kokovidis Dräger Medical

Take a look at the inequal command. You have to load the plots package to use it. There are plenty of examples in the help pages. >?inequal Regards, Georgios Kokovidis Dräger Medical

Take a look at the help pages for the trig functions. >?trig All values are computed using radians. You can convert to degrees using the convert function. If you want to use degrees, you can use the natural units package. It has to be loaded first. >?Unit[Natural] for more help on this. >with(Units[Natural]): >sin(3 * deg); sin((1/60)*Pi) >evalf(%); 0.05233595626 Regards, Georgios Kokovidis Dräger Medical