Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Here is what I tried.

I need to get the sum of all the real roots of 3*sin(x^2) = x

So I tried this. 

 

>solve(3*sin(x^2)-x = 0, x, AllSolutions)

Which gaved me this 3*sin(RootOf(_Z-9*sin(_Z)^2))

Then >sum(3*sin(RootOf(_Z-9*sin(_Z)^2)), _Z = -infinity .. infinity)

Which gives me this answer which I cannot make sense of.  signum(sin(RootOf(_Z-9*sin(_Z)^2)))*infinity

 

I have a question regarding on how to graph and prove that csc ^2(theta)-cot ^2(theta)=1 our professor provided us with a very poor example, i have to graph the left side of the equation first with a 0 to 2*Pi x-axis and then graph the right side on the same plot. 

Could anyone help with solving this integral?

> evalf((∫)[-infinity]^(infinity)((∫)[-infinity]^(v)( uv)/(sqrt(2 Pi))(1/2+1/2 erf((1 )/2 sqrt(2) u))(1/2-1/2 erf((1 )/2 sqrt(2) v))(e)^(-((u^(2+v^(2))))/(2)) ⅆu )dv);

thanks,

I'm new to using Maple. I'm trying to evaluate an equation where all unknowns are given. So to say use Maple

as a kind of desktop calculator with the possibility to change certain input variables and see what the outcome is.

 

I'm wondering why the trigonometric functions are not evaluated.

 

> restart; with(plots); with(LinearAlgebra); with(linalg);
> m1 := 2280; m2 := 2243; m3 := 2220; k1 := 300; k2 := 200; k3 := 100; F0 := 4.1; omega1 := sqrt((k1+k2)/m1);
> Sys := m1*(diff(u1(t), t, t))+(k1+k2)*u1(t)-k2*u2(t) = F0*cos(omega*t);
print(??); # input placeholder
> IC := u1(0) = 0, (D[1](u1))(0) = 0;
> csol := dsolve({IC, Sys}, {u1(t)});
%;
> p1 := subs(csol, u1(t));
>
> plot(p1, t = 0 .. 10*Pi, 'color' = "red", 'thickness' = 2, labels = ...

I have 5 term which each term includes three function of time (autonomous system ), i want to obtain time derivative of each term as other terms for example if i define each term as a dimensionless variable , e.g.  x , y , z , v , w , i want to know dx/dt = as  x , y , z , v , w.

 

 

i differentiate each term but i dont know how to obtain each differentiated term as other terms

Hello,

I need to plot M vs phi from the following ode. For this I am using implicitplot but unfortunately

I am getting empty plot. Please guide me through this issue.

Thanks 

eq1 := 1/(1-phi)^2.5/(1+4117/783*phi)*diff(f(eta),`$`(eta,3))+1/2*f(eta)*diff(f(eta),`$`(eta,2))

+M*(1-diff(f(eta),eta)) = 0;

bc:=f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0),D(f)(N)=1;

respar:=dsolve({eq1,f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0)},numeric,

Branched from huffman coding (excellent example).  The huffman tree was not encoded in the message. The tree was known from the original message but suppose we didn't have the original message.  We need the tree in the compressed message.

How do you include the huffman tree in the message?

Hi. I'm very new to maple, and got stuck on a task on my assignment. I'm supposed to find the area of the segment (gray area) with the diameter D as a function of h. Any help and pointers is appreciated, thanks. :)

 

Circle

Task: Two circles will be placed inside a square of side 20cm (see figure below). The circle diameters can vary, but the total being 20cm. Show that the circles takes less space (at least land) if they are equal.

Every time i open an already saved document and change it then try to save it it comes up with this error:cwmaple.exe has stopped working!!! Why does this happen??

 

 

Please Help

 

Thanks,

I'm trying to use define but get unexpected behavior. Say I want to declare that the map phi is additive. I would try this

define('phi',phi(x::`+`)=map(phi,x));

But if I do phi(x+y) now, I get a warning about an infinite recursion. I get an indication of what the problem is if I define instead

define('phi',phi(x::`+`)=op(x));

Now phi(x+y) produces "x+y" rather than "x,y", so somehow the sum is considered atomic. Can somebody explain this to me?

The following example has been a cornerstone in the computer lab exercises for Calculus II:

a := n -> (-1)^n*arctan(n):
Limit( a(n), n=infinity ):
% = value( % );
/ n \ 1 1 1 1
lim \(-1) arctan(n)/ = - - Pi - - I Pi .. - Pi + - I Pi
n -> infinity 2 2 2 2

Hi, My name is Remon. I am first year student in calculus 1, I want to be a financial engineer, I will study finance and I will do my best to study mathematics as well. I need to learn Calculus with Maple. but I do not really from where should I start? Is there any video training for Calc 1,2, 3 that I can buy to learn ?? If there is any advice to help me out to reach my goals I will be very thanksfull.

In trying to solve for a difference quotient, I've entered the following:

 

Why does the second solution appear in the way I want, but not the first? Is there any way to get the first to display in the same way as the second?

Thanks in advance.

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