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..

In Maple 11 Standard Interface, occasionally text will be entered in UTF-8 encoding. I have not exactly found a rhyme nor reason for this to occur. Sometimes, it will occur when I am formatting text in a paragraph to be more readable. Sometimes, it will occur when I copy output and paste it into a command line to be executed. Sometimes (and this one is the oddest I've found), it will happen when I go into a line with a string and add a \" inside the string. The UTF-8 encoding is becoming a very large problem, as when it occurs on a command line as in the second instance, Maple will very often interpret the command incorrectly.

Some of you might have wondered what we Maplesoft employees do in our spare time. Well, in a couple of weeks, we will be starting our 7th annual in-house Scrabble tournament. Scrabble (trademark of Hasbro, Inc.) is the popular board game in which words are formed from letter tiles. The tournament attracts participants from all parts of our company, though it is particularly popular among the R&D members. The tournament goes over a month, with each participant playing a total of 5 games. The top players then continue on to play-off rounds. Most people play over the lunch hour in our common area, and the games frequently attract spectators. This is not an official National Scrabble Association (NSA) tournament, but we follow most of the NSA rules, using clocks and dictionaries for challenges.

In the following working Maple 11 worksheet an error ("Error, (in rtable/Product) invalid arguments") occurs if "array" is changed to "matrix". Also, if I change "Vector" to "array" I don't get the answer that I want. I get the same error if I use the Matrix Palette to define the matrix. View 4937_SE.mw on MapleNet or Download 4937_SE.mw
View file details Please help me understand these things better.

Does anyone know how to solve this equation 49x + 24y + 37z = 3778171

I have just noticed that user _JZlV_BjwBOR has just rocketted up the charts (with 39 points from 13 blog posts). Curious, since I did not remember seeing any such posts, I look at this user's blog and it is empty. What gives?

I wonder why

a,b := NULL,NULL:

does not work, leading to an error of ambiguous multiple assignment, whereas

a := NULL:
b := NULL:

does work. Nothing critical of course, just mysterious, or what?