How do I get maple 11 to graph the surface and the horizontal tangent plane (same graph). The function I am working with is z=3x^2+2y^2-3x+4y-5 the point would be (1/2,-1,-31/4) I am a new user, so if you could take it step by step, that would be very helpful. Thank you, Jerry

A quick question about sending a blog entry to someone by e-mail via the "Email this blog" button: I almost missed the box to enter the e-mail addresses. I never expected this box to have all of the buttons for typesetting HTML or to upload/use file or worksheet. Shouldn't this field should just be a simple textbox? Doug

As new features are being built into upcoming releases of Maple, here is one request that would be very helpful for those of us who use Maple to teach lower-level (Calculus) students. Maple can work nicely with functions, but students are not always so comfortable with this language. Here's a current example. Suppose you want to find the tangent line to a function. We might work as follows.

> f := x -> sqrt(4-x^2);
                                      /     2\
                             x -> sqrt\4 - x /
> df := D( f );           # typed, or from context-menu
                                         x      
                            x -> - ------------
                                       /     2\
                                   sqrt\4 - x /
> TL := f(1)+df(1)*(x-1); # tangent line at (1,sqrt(3))
                           (1/2)   1  (1/2)        
                          3      - - 3      (x - 1)
                                   3               

This works nicely and looks fine. Now change the function.

f := x -> sin(x);
                                 x -> sin(x)
df := D( f );           # typed, or from context-menu
                                     cos
TL := f(1)+df(1)*(x-1); # tangent line at (1,sin(1))
                           sin(1) + cos(1) (x - 1)

This works fine, but does not LOOK good. The problem is that Maple is TOO SMART. It knows that the derivative function (x->cos(x)) is simply the cosine FUNCTION. Instead of the abbreviation (cos) I want to be able to tell Maple to show this result as (x->cos(x)).

Hi all, My question is: WHY is underscore (_) used to represent subscripts of parameters in equations? This is what i observe in most of the maple documents/worksheets from the application center. Why isn't the math form (Shift + _) used? The subscript can also be represented as, for example, k[1] in the text form. Any particular reasons? AKS.

I installed Maple 11 a while back without any problems and have used it without any problems for a while as well. Recently I started using it again after a short hiatus and it does not boot. I get a message that tells me that the jvm.dll file found in <maple>\bin.win is not a valid Windows image and then another error message telling me that there was an error loading it. I can still use Classic Worksheet Maple but when I try to use the preferences option the same message appears. Any idea how to fix it? I don't have an installation disk as I downloaded it directly from MapleSoft. Thanks for a

Is it true that we cannot embed a for loop within another for loop? I was trying this simple code - for a reason to be mentioned below- and I've got an error message. What am I doing wrong? Is there a way to embed for loops and to have them work correctly? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ L:=[0,1,2]: for i in L do print(i) for j in L do print(j) end do; end do; print(Typesetting:-ASM, "assembled object is invalid"); # input placeholder Error, unterminated loop ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ What I was trying to do was to generate a list of lists as follows. For a given list, let's say L:= [0,1,2], create the list of all possible pairs [i,j]

Find the equation to a line that contains the point (-4, -3) and is perpendicular to the line x^2+y^2=25.

I recently posted to the Applications Center a set of class notes and a solutions manual for the exercises to accomany a course in Multivariable Calculus. These notes are a result of teaching this course for the last number of years to Engineering students at NSAC and they have found them to be benificial. I am interested in any comments and/or suggestions on how they could be improved for later editions. Link to Application on Maplesoft App Center

Hey everyone, I have a system of equations that is kind of complex, and would like to create a generic solution for it, but I am not sure if this is possible. I have 6 equations, and only 4 unknowns. These equations are describing a physical system, so there is a solution to the problem, and will always be a solution given the imputs from the physical system. All of the equations are of the form: A+B*Sin(theta1)+C*Sin(theta2)+D*Cos(theta1)+E*Cos(theta2)+F*Sin(theta1)*Sin(theta2)+G*Cos(theta1)*Cos(theta2)+H*Sin(theta1)*Cos(theta2)+I*Cos(theta1)*Sin(theta2)=J+K*Sin(theta3)+L*Sin(theta4)+M*Cos(theta3)+N*Cos(theta4)+O*Sin(theta3)*Sin(theta4)+P*Cos(theta3)*Cos(theta4)+Q*Sin(theta3)*Cos(theta4)+R*Cos(theta3)*Sin(theta4)

Heston's model is formulated in the language of stochastic processes (not my case at all) and translated to a PDE, where it is solved in Fourier space in closed form. The actual price of an option then is given by a Fourier inversion. The model gives a mean reverting behaviour for volatility and allows to reproduce 'volatility smiles' - both are stylish facts observable in markets (which the classical Black-Scholes model does not cover). Here I show ways, how evaluation can be done within Maple in reasonable time: the involved integrands are very time consuming for numerical evaluation, but that can be simplified a lot using the codegen packag.

Hi, I'm having a problem optimizing a function using Maple. To be perfectly honest, it took me quite a while to realize that the problem was with maple; as it stands, changing the limits of optimization affects the final answer, despite the maxima always remaining between the limits. That is to say, given a function whose maxima is at, say, x=5, trying to find the maxima between the limits 3-9 gives a completely different than finding the maxima between the limits 4 and 6. This isn't a poorly behaved function, as evidenced by the attached graphs, so I'm at a loss to explain this behaviour.

Greetings, Maple saves backup files in my user directory with names like "untitled0_MAS.bak". When I leave the program on for long periods of time they get to be a nuisance. It would be nice if they were saved to a more discreet directory. I am using Mac OS 10.4.10 and Maple 11. Thank you for your time and keep up the good work. Cheers, Ed

CAn anyone help me solve this math problem. 54xy^3/15x^2y so its 54xy (Y is cubed)over 15x(X is squared)y Thank you, Nico

In writing codes how can we reduce the CPU comutation time spent for e.g. finding a large Determinant of order 15*15(or even more) of 2 or 3parameters.puting it to zero and solving it for one of the parameters? suppose I have a Matrix of 3 parameters(a,b,c) named M, with(LinearAlgebra): N:=Determinant(M); solve(N=0,a); Here what shall I do for reducing the CPU spent time?

Hi is this impossible to solve? eq1:=A/(G+1/(1/V+1/(Y+1/(1/Z+1/X1))))/2=M1; eq2:=A/(G+1/(1/V+1/(Y+1/(1/Z+1/X2))))/2=M2; eq3:=A/(G+1/(1/V+1/(Y+1/(1/Z+1/X3))))/2=M3; solve({eq1,eq2,eq3},{V,Y,Z}); It takes forever..