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This is for a calculus lab.  I need to show my students how to do this with Maple.


int(int(int(VectorCalculus[`*`](VectorCalculus[`+`](r^2, VectorCalculus[`*`](r, cos(theta))), r), z = 0 .. sqrt(VectorCalculus[`+`](a^2, VectorCalculus[`-`](r^2)))), r = 0 .. a), theta = 0 .. VectorCalculus[`*`](2, Pi))

It only does the inner integral and gives  ...


                                             ans := (x+1)^2-1

ans1:=CompleteSquare(x^4+2*x^2, x^2)

Error, (in Student:-Precalculus:-CompleteSquare) arguments after the 1st should be a name, function, or a list or set of names or functions...

why won't VectorCalculus[Jacobian] accept vectors?

... to prevent me from frying my system? or is it an unnecessary restriction?

Here's what I mean:
Fvec := Vector([x[1]*x[2],3*x[3]]);
Xvec := Vector([x[1],x[2]]);
Flst := [x[1]*x[2],3*x[3]];
Xlst := [x[1],x[2]];

Error, invalid input: too many and/or wrong type...

I'm in the process of reviewing Calculus for self-learning--I'm not in a class room but learning/re-learning on my own.  Would the Calculus Bundle be sufficient for that purpose?  Does it contain enough supporting information to permit self-learning?  Would steps be shown for equation solutions?

A new edition of Maplets for Calculus  (M4C) is now available.  M4C v1.3 is a collection of 129 maplets for calculus students and instructors.  The 35 new maplets fill in some gaps in the coverage of precalculus and single variable calculus and begin to address multivariate topics. Each maplet provides a customized graphical user interface (using 2D and 3D graphics and animation) to provide immediate, step-by-step guidance through an endless supply of random ...

with the following input:


X := r -> sqrt(2/Pi)*alpha*exp(-alpha^2*(r.r));

a_0:=a*<1/(2*sqrt(3) , 1/2>;


K:=<k_1, k_2>;






eq1:=int( X(r-a_0) , x=-infinity .. infinity);


Why is the ouput :






1) Solve the series using the alternating series method:

12 - 6 + 3 - 1.5... 

I know the answer is 8 because it is in the back of my calculus textbook...I just don't know how it is 8.


2) Solve the series:  ((2/k) - (2/k+3)) where k = 1 to infinity. 

I know the answer is 11/3...I just don't know how to get there.

My question is this: 

In with(DifferentialGeometry): with(JetCalculus) with(Physics):

I work with the following Jet Bundle:

DGsetup([x], [u, psi], E, 40), 

where psi is declared anticommuting with Setup(anticommutativeprefix={psi}). 

When I work with expressions that are differential polynomials in u with coefficients arbitrary functions of u, the EulerLagrange operator behaves correctly. The same is true if I multiply these expressions by psi or by psi_1 ...

Could the Student:-Calculus1:-Hint routine detect that its answer(s) will result in an endless cycle (even if only cycles of length 2)? Maybe it could check, and not make such hints?

Below is just one example. Sure, its hint is not great here, due to which this is not a fantastic example. But I'm still wondering about cycling prevention for Rule&Hint in general.

This is Maple 13.01.

> restart:
> with(Student:-Calculus1):

> Int((x^2+a...

Im using maple 13

I always encounter an error everytime i use the feature ShowSolution

the error says:

"Error, (in Student:-Calculus1:-ShowSolution) input expression does not have any incomplete calculus operations"

This always happens in all the calculations.


How should I use the ShowSolution properly?


how can i understand calculus own my own. and i'm a lazy student.
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