## testing equivalence of relations...

Hello, my question is connected to the topic in my blogpost - Testing objects for equivalence. Alec Mihailovs wrote a procedure for nested verifications. But this doesn't work for relations where one relation equals to the second one multiplied by a constant. They are different, but solution is the same. For example: x=1 2*x=2 also Maple answers false. `verify(x=1, 2*x=2,relation);` false

## Triangle brackets...

Hi, I have a question. In the Classic Worksheet in Maple 10, how do we change the triangle brackets <> to the square brackets [] when entering matrices with the Matrix palette. Thanks

## second derivative to find inflection points...

I have found the second derivative of a function, but am unable to identify the correct command in maple that will allow me to solve for my variable when the derivative is equal to zero. I am attempting to identify the points of inflection. I thought that the command would be similar to the one I used for the first derivative, but it is not working. This is what I tried. (D(D(f)(x)),=0.0,x); I used D(D(f)(x)); to find my second derivative. I used D(f)(x); to find my first derivative and (D(f)(x)),=0.0,x) to find all points where x was equal to zero for my first derivative. I have also tried (D@@2)(f); with no success.

## Using the del operator and diff with respect to a ...

Hi I need to use the 'del' operator form with both subscript and superscript acting on it. I would for example like to be able to differentiation of a function that combines a number of vectors with respect to a particular vector. I then need to take the components for example (x) corresponding to the subscript on the del operator. Is there an easy way to do this? I can perhaps make it simpler by just using the standard derivative, but dont know how to do this with respect to a vector. Could someone help out a newbie here. I can then take the dot product with a unit vector in the x direction to obtain just the x component.

## I am new here and I need some help !!!...

My question is: (Frent Analysis)
I have this vector function S:=t-> <t^3,3*t,t^4>
I got S(1) wich is <1,3,1>
Also, I got TNBFrame(s(t),t);
and tnb1:=eval(%,t=1) for t=1
I got the Normal Vectot N, Binormal Vector B,the curvature(s(t),t), and curv:=eval(%,t=1);

the question:
Armed with this knowledge, use Maple to find the equation of the osculation circle to the curve s(t) at t=1. Plot the curve and the osculation circle on the same plot. Also, plot the three vectors, T,N, and B, at the point s(1), with different colors, at the same plot as the curve and the circle.

## fsolve fails to give numurical solution...

Hi, I am trying to solve these 6 equations with 6 unknowns. Unfortunately, "fsolve" does not give numerical results. Please let me know if there are other commands that I can use. I am using Maple 10.06 (Build ID 255401). restart; C := 2; TY := .9; Y := Vector(1 .. C, TY/C); TM := 1; DL := 5; eq1 := X1 = (Y+Z2)/TM; eq2 := X2 = (Y-Z2)/M2; TX := X1+X2; eq3 := M2 = (1-X1)*TM+X1/(1/TM+W1); W0 := Y/TM^2+Y/M2^2; EF := W0/(1-TX); eq4 := W2 = EF+X1*min(W2, DL); eq5 := W1 = (TX*EF-X2*W2)/X1; eq6 := Z2 = Y*max(0, W2-DL)/W2; fsolve({eq2, eq5, eq1, eq3, eq6, eq4}, {M2, X1, X2, Z2, W1, W2});

## Labeling level curves...

I am trying to get "contourplot" to label the curves it produces. Is this possible? How? An associated question: Can I force the values at which the level curves (contours) are produced, e.g., show the contours for f(x,y) = 5, 10, 15, and 20. Thanks for your help. Tom

## Solving parameteric equation....

I have these equations.

## Using FileDialog...

I'm continuing to work on my Maplet with the question bank, and can succesfully read in files outside of the Maplet using the readline command and parse. However, this is limiting in the fact that the user has to type in the name of the file in a Maple command line. I would like to use the FileDialog to have them select the file with the questions and answers. It's easy to use RunDialog with to run the FileDialog, but once they've selected the file, how can I assign that "string," say, ["E:\questionbank.txt"] to a variable that I can use outside of the actual Maplet code? I need to throw it to the readline procedure I created so it can read each line and parse them, etc.

## simplification... What's the simplest MAPLE command that would change into  ## Simplifying with extra condition....

I have following expression.

## looking for special symbol xhat, or circumflex...

There is one for yhat under "Roman Extended Lower Case", but for some reason there isn't one for x. Why is that the case? Am I missing something? Problably so. Please help. Thanks much.