MaplePrimes Questions

I calculate the limit

Let me know if there are any errors in my calculations?


 

restart

assume(a > 0)

limit(int(sin(x)/x, x = n .. n+a), n = infinity)

0

(1)

int(sin(x)/x, x = n .. n+a)

-Si(n)+Si(n+a)

(2)

plot3d(-Si(n)+Si(n+a), a = -5 .. 5, n = -5 .. 5)

 

limit(-Si(n)+Si(n+a), n = infinity)

0

(3)

limit(-Si(n), n = infinity)

-(1/2)*Pi

(4)

limit(Si(n+a), n = infinity)

(1/2)*Pi

(5)

NULL


Thank you in advance.

Download limit_int.mw

I have a polyhedron with A(1,1,0), B(-1,1,0), C(-1,-1,0), H(-1/2,0,1), K(1/2,-1/2,0). How can I calculate volume of polyhedron ABCHK?
 

How can a horizontal axis be curved in a plot? like this

plot(F*r*sin(theta) - m, theta = 0 .. Pi)

When I am setting up the coordinates in the physics package, I use the following command. And it sets it to (r,theta,phi,t).

Setup(dimension = 4, mathematicalnotation = true, coordinates = spherical)

Is there a way to change it to (t,r,theta,phi)?

It gets a bit more confusing when we are looking at rank 2 objects.

Hi, I am working on an activity about conic sections, but I have a small issue with the display of the ellipse and the circle. My outlines are not complete. Any ideas on how to identify my error? Thanks  SectionsConiquesTest.mw

Hi to every one. I have attached a maple for eigenvalues. Please see and tell be solution of problem.

Thanks for time.

Eigen_Values.mw

Hi, here is my question.

test:=v^3;

plot3d(test,u=0..1-v, v=0..1);

How can I  transform this plot in the right triangle into an equilateral triangle? 

So that the three edges of the plot are the same length.

I wanna, squish it, or shear?

any tools i can use? Or can I do it using some tricks to change the function?

 

 

why the output wont appear eventhough I think the working is right?

y'' + 1/x * u' + u = 6 - 9x + x^2 - x^3

with baundary condition :

u(0) = 0 , and u(1) = 0

 I run the attached code, but after waiting for a few minutes, there is no response, does anyone know the reason?

 It only shows Evaluating!!!!

 sy01.mw

eq1:=( d)/(dt)u+(d^(2))/(dy^(2))u + s*( d)/(dy)u + delta * theta = 0;

eq2:=( d)/(dt)theta + (d^(2))/(dy^(2))theta + s*Pr*( d)/(dy)theta +lambda* exp(theta/(1 +(epsilon*theta))) = 0; 

initial and boundary conditons   

t <=0; u = theta = 0, for 0 <= y  <= 1   

t> 0;  u =0, theta = 0   at  y = 0;  

t> 0;  u =1, theta = 0   at   y = 1  ;

where, s, epsilon, Pr, lambda, delta are arbitrary parameters

Assuming I have an expression

you can know that the derivative with respect to y will vanish when y is a constant y0.

How can we use the mathematical software Maple to simplify this expression?

There appears to be a bug in Maple 2023 where constants beginning with a Greek letter cannot be saved.  Assigning a constant to a Greek letter works in the Maple interface but does not work when reading an MPL file encoded as UTF-8.  Example:

read "D:/Nikki/docs/Maple/constants.mpl" :

MPL file contents:

alias(asec=arcsec) : # arcsecant

ζX1 := asec(1) : # first airmass zenith angle
ζX2 := asec(2) : # second airmass zenith angle

The constant "ζX1" can be assigned/saved in Maple but shows as unassigned when imported from an MPL file encoded as UTF-8.

Any assistance in how to use Greek letters in MPL files is much appreciated.

Hello everybody, 

So, i managed to use the examples of https://www.mapleprimes.com/questions/233343-Drawing-Of-Complex-Numbers-On-A-Complex-grid- to get to a figure that works for me. If there is a better way, i would love to hear about it. 

I believe the question does not need translation because it is very clear due to the other examples that have been done before example 3. 

The real question is: how to combine these parameters to form the right figure? The parameters are in the red box in the 3rd picture. 


 

#Toegepaste Wiskunde Deel 2
#Hoofdstuk 6
#Paragraaf 1
NULL

#Voorbeeld 1

plots:-inequal([2 <= x and x <= 7, 1 <= y and y <= 4], x = 0 .. 7, y = 0 .. 7)

 

plots:-inequal([1 <= y and y <= 4, 2 <= x and x <= 7], x = 0 .. 7, y = 0 .. 7)

 

#Voorbeeld 2

plots:-inequal([0 <= x and x <= 4, 0 <= y and y <= sqrt(x)], x = 0 .. 5, y = 0 .. 5)

 

plots:-inequal([0 <= y and y <= 2, y^2 <= x and x <= 4], x = 0 .. 5, y = 0 .. 5)

 

#Voorbeeld 3

plots:-inequal([0 <= x and x <= 2, (1/2)*x <= y and y <= 3*x*(1/2)], x = 0 .. 4, y = 0 .. 4)

 

plots:-inequal([0 <= y and y <= 1, 2*y*(1/3) <= x and x <= 2*y], x = 0 .. 5, y = 0 .. 5)

 

Download Toegepaste_Wiskunde_Deel_2_Hoofdstuk_6.mw

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