MaplePrimes - Questions and Posts tagged with calculus

task curve (tractrix)

kawakib — Sun, 13 May 2012 20:03:53 Z

I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

Find the length of the tangent line from the tangent point to the asymptote
find the area between the curve and its asymptote
find the length of the curve from x-axis to a point on the curve
find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib

An Epidemic Model

Robert Israel — Thu, 01 Dec 2011 02:53:15 Z

I've submitted an application to the Application Center: An Epidemic Model (for Influenza or Zombies). This is an interactive Maple document, suitable for instructional use in an undergraduate course in mathematical biology or differential equations, or a calculus course that include differential equations. ...

trigonometric solve without floats

Andreas Madsen — Thu, 20 Oct 2011 22:13:52 Z

Hey

I'm trying to solve this trigonometric equation:

e := 4·cos(t)+2·cos(2·t)=0. In the interval 0..2·Pi

However when i try:

solve([e, 0 <= t <= 2 Pi], t, AllSolutions, explicit)

I won't give my a straight answer.

I have also given Student:-Calculus1:-Roots a try:

Student:-Calculus1:-Roots(e, t=0..2·Pi)

But it will only give me an answer when i use the numeric...

trig integral simplification difference?

brian bovril — Sat, 20 Aug 2011 14:49:30 Z

trig_integrals_prime.mw

if you put these integrals into Tool...Tutors...Calculus SV ....Integration methods, you get simpler "nicer" answers than when you integrate them directly in a worksheet (even after simplification).

why the difference?

why does evalc give csgn?

Peter_Parker — Sun, 17 Jul 2011 00:53:21 Z

Hi,

I am trying to simplify the expression s as given below. (I am not sure why it comes up with all the vector caclulus notation in it but it should display okay when you enter it)

Because of the presence of the exponential imaginary fucntions I thought evalc might be useful but when I use it I get a huge expression with csgn appearing in it. To my knowledge csgn appears when assumptions are not correctly specified - is this so? I can't see any assumption...

dsolve(ODE, y(x), options) - Error, (in dsolve) y(x) and y cannot both appear in the given ODE.

visko — Wed, 01 Jun 2011 08:47:34 Z

Hello!

I have a problem that has to do with the function dsolve in Maple 14.

This is my code:

How do I calculate Riemannsum?

Harry_smile — Sat, 05 Mar 2011 18:00:32 Z

I want to make a numerical approximation of the number Pi to a defect that is not more than 0.0001

Maple Animations

tatan2501 — Fri, 10 Dec 2010 22:09:13 Z

Hello.

I was thinking about how I have used Maple for making animations. Thinking about it, I remembered an animation that I made to motivate the students of a calculus course. With this animation, I was searching to show the students the power of Maple.

I would like to see other animations for getting new and interesting ideas to show the students.

If you want to upload some animations, we could do a funny post with many animations.

Is there a way to help Maple evaluate this triple integral?

widmer — Sun, 21 Nov 2010 21:12:55 Z

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

It only does the inner integral and gives ...

CompleteSquare can't square completely

lxyuzs — Sun, 21 Nov 2010 14:09:31 Z

ans:=CompleteSquare(x^2+2*x)

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 can't VectorCalculus[Jacobian] take vectors?

PatrickT — Thu, 04 Nov 2010 09:29:22 Z

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]];
VectorCalculus[Jacobian](Fvec,Xlst);
VectorCalculus[Jacobian](Flst,Xlst);
VectorCalculus[Jacobian](Flst,Xvec);

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

Please help!!! How can I solve a derivative in Maple with the right commands?

ummu — Tue, 26 Oct 2010 00:32:28 Z

Download Maple_primes_ques_27.mw

Student Calculus Bundle

swim73 — Mon, 04 Oct 2010 01:41:22 Z

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?

Maplets for Calculus 1.3 now available

Doug Meade — Mon, 13 Sep 2010 12:45:58 Z

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 ...

Error, (in simplify/tools/_zn) too many levels of recursion

otherworld314 — Fri, 25 Jun 2010 05:15:48 Z

with the following input:

with(VectorCalculus);

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

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

r:=<x,y>;

K:=<k_1, k_2>;

assume(alpha::real);

assume(alpha>0);
assume(k_1>0);

assume(k_2>0);

assume(k_1::real);

assume(k_2::real);

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

Why is the ouput :