Items tagged with calculus

Hi,

Ive been trying to solve critical points for maple but i keep getting this werid equation:

(1/7)*RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)+1+(1/14)*tan(RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)).

 

What I have typed

f:=x->(7-x)*sin(x^2-7);

f1:=D(f);

When I try putting:

solve(f1(x)=0);

I get that werid equation

 

Hi,

i have been looking to see if i could get the source code for some of the calculus functions in maple. So far, i have tried this

kernelopts(opaquemodules = false)

interface(verboseproc = 3)

print(DiffTutor)

which shows the result

module() ... end module

does anybody have any idea how i would:

1) get the full list of sub-procedures in the module

2) get the source code of any of the sub-procedures in the module?

Thanks in advance!!

Here we see the projection of a vector onto another using different concepts ranging from linear algebra to vector calculus. Implemented components thus seen in three-dimensional space.

 

Proyecciones_Vectoriales.mw

(in spanish)

L.Araujo C.

I am planning on getting Maple 18 Student Editon and I am wondering if the calculus palette is in Maple 18 student edition.

Thanks

Nick

We're starting on indefinite integrals in my 1st year calculus class.

 

A quick example would be int(sin(x), x);=-cos(x)+C

 

Maple doesn't add the +C on the end of it's solution. Can someone explain or point me to a resource? I've tried searching but I can't find an answer. 

hello everyone..

please...

I need help to write a code to calculate the riemann sum approximation of the curve cos(sqrt(x^2+y^2)+1 

calculate the actual volume using integration

use the ranges x=[-2pi to 2pi]=y, and 20 subdivisions.

also display the curve and the parallelepiped approximations on the same plot.

 

Thank you for your help!

hi everyone,

i need help to write a maple code to generate an animation sequence showing the taylor series approximation of tan(x) from 

N=1..5.

plot the animation from x=-2pi to 2pi and y=-5 to 5.

 

thank you for your help..

hi everyone,

I need help writing a maple code to calculate the normal to the curve X^2-2X at x=1

and also display the curve, the tangent, and the normal on the same plot in the range x=[-2,2].

 

thank you for your help!

When I take the derivative of abs(x), I use the chain rule and get this

When I ask Maple to differentiate abs(x), I get this:

I read the help file on "signum", and I expected this to work, but it does not.

 

 

How can I represent signum in normal calculus syntax when working the derivative of functions involving abs(x)?

 

 

 

I've got

f(x,y)= a.exp(1+xy) +( a^2 )*sin(x)+1

for which I've shown that there exists an implicit function x=g(y). ( df/dx <>0)

and df/dx = a*exp(1+xy) +( a^2 )*cosx now in the neighborhood of P=(0,0) for the implicit function to exist I'd need a*exp(1+xy)*y <>0 but at P, wouldn't this be 0?

Given, g(y)=x, how do I find the max,min,saddle points?

Hi all,

I'm having a challenge solving an integration that has some error functions associated with it.

Description:

I am trying to find the Riemann midpoint of the integral. All the parameters are known except the u and du terms which came into the expression following a laplace transform.

the output I get from the above input is shown below, and as it can be seen, the u and du terms coupled with a complimentary error function still exist. I have tried the "simplify" function and it returns similar output expression.

 

Any help will really be appreciated.

Thanks :)

 

 

 

  Hi there,

  I want to use maple 13 for calculating mean value theorem for differentiable function  f:=piecewise(-2≤x≤0, -x2 ,0≤x≤2,x2

on the interval [-2,2]. But an error occured, that is,"function must be continuous".Any help will be appreciated.

REGARDS

 Yegan

 

Hello,

 

How can I write a code to calculate the Rieman Sum for  y=x^1/2 [0..4] using 

left hand rule and 100 subdivision.

Thank you 

Determine using determinants the range of values of a (if any) such that
f(x,y,z)=4x^2+y^2+2z^2+2axy-4xz+2yz
has a minimum at (0,0,0).

From the theory, I understand that if the matrix corresponding to the coefficients of the function is positive definite, the function has a local min at the point. But, how do I get the range of values of a such that f is a min? Is this equivalent to finding a such that det(A) > 0?

 

2.

Now modify the function to also involve a parameter b: g(x,y,z)=bx^2+2axy+by^2+4xz-2a^2yz+2bz^2. We determine conditions on a and b such that g has a minimum at (0,0,0).
By plotting each determinant (using implicitplot perhaps, we can identify the region in the (a,b) plane where g has a local minimum.

Which region corresponds to a local minimum?

Now determine region(s) in the (a,b) plane where g has a local maximum.

I don't understand this part at all..

Hi,

for my simulation I have to calculate several gradients and jacobian matrices. The equations are quite complex and with my current setup hard to read.

 

Here is some exampel code:

restart;
with(VectorCalculus);
SetCoordinates(cartesian[x, y, z]);
alias(u = u(t, x, y, z), v = v(t, x, y, z), w = w(t, x, y, z)); alias(eta = eta(t, x, y, z));
U := VectorField(`<,>`(u, v, w));
Divergence(U);
Jacobian(U);
Diff(U, t);

The Divergence operator gives me a very compact result:

But Jaobian and Diff look like:

 

To achive a better readability I want to do two things (if possible):

1) hide the independet variables (t,x,y,z) in the result of Jacobian, Diff

2) display the result of Diff in a row vector (3x1) instead

 

Is this possible?

Thanks in advance for your help

 

 

1 2 3 4 5 6 7 Last Page 2 of 11