graph the function and explain why the limit does not exist lim((x*y^3)/(x^2+y^6)) with (x,y)-(0,0) any helps

How can i find:

 

int(x*sinh(x)/sqrt(1-sinh(x)*sinh(x)), x = 0 .. log(sqrt(2)+1))

 

int(x*sinh(x)/sqrt(1-sinh(x)^2), x = 0 .. ln(sqrt(2)+1))

 

with maple

Hey, I'm using NonlinearFit to find parameterranges in theoretical equations for physical data. however some of the parameter values are being returned as negative values and I need to specify parameterranges but am having trouble doing this. 

For example in the equation below I would like to specify that alpha and ro should take on positive values, as otherwise with the curret data set I am using ro is assigned a negative value.

g1 := NonlinearFit(E(F, alpha, ro, .31, 165, e), X, Y, F)

investigate the family of functions f(x,y) = e^(c+x^2 + y^2). how does the shape of the graph depend on c? using maple

graph the surface, tangent line and normal line for:

xy + yz + xz = 3 (1,1,1). choose the domain so that avoid the extraneous vertical planes.

the paraboloid  z = 6-x-x^2 -2y^2 intersects the plane x=1 in a parabola. graph the paraboloid, the parabola and the tangent line at point (1,2,-4). any help.

Hello,   I'm trying to find or simply define an associative and non-commutative product in Maple, with all the possibilities of the product *. The '.' product is only left assiciative, as '&*'.   How would it be possible ?   Thanks !

Hello together, I want to generate 1000 random numbers. I know the function for normally distributed numbers: X1 := random[normald[mu[1], sigma[1]]] The problem is: 1. I want only positive numbers (but exactly 1000)... 2. I want to set a lower(mu minus 3*sigma and upper limit (mu plus 3*sigma) Thanks for your help!

Hi, I possess values for X and Y in an intervall 1 .. 100 . For each combination (X,Y) you get a Z value of 1,2,3 or 4. Depending on the value Z each coordinate (X/Y) in the 2D CS should be displayed in form of a square (if Z=1 ->blue, Z=2->red,Z=3->yellow, Z=4->black). As a result I have to receive a kind of landscape with colored squares. Thanks a lot!

Hi! The following worksheet considers two methods for using given bases to find the change-of-coordinate matrices and coordinate vectors. One method uses matrix manipulation and the second uses the solving of systems of equations. The worksheet uses a Brief Review to describe both processes and the examples are used to show you how to use both processes as well as to illustrate how they are related.

Hi!

This worksheet contains three examples that show you how to:

 

• Obtain the quadratic form
• Obtain the matrix of quadratic form
• Diagonalize the quadratic form to transform it into a

I am currently trying to plot some geodesics with maple, in order to do this I'm trying to get Maple to give me an expression for dr/dy (y here is actually a radial variable) from my equation system which is given by

sys := [diff(y(x), x) = sqrt((1-(diff(r(x), x))^2)/(r(x)^4+r(x)^2)), diff(r(x), x) = sqrt((2+1/r(x)^4-1/r(x)^2)/(1/r(x)^4-1)^2)]

Can anyone help me with this?

Hello everybody, I am using Nelder Mead for an optimization problem. The algorithmus I found in the Maple library is for minimization. Does anybody know how to change the algorithmus that I can also use it for a maximation problem? Thank a lot in advance!

Hi there,

I am got the two two ( identical ? ) summation .

f:=x->1;

b[n]:=2/Pi*int(f(x)*sin(n*x),x=0..Pi);

S:= N-> sum(b[n]*sin(n*x),n=1..N) ;

T:= N-> 4/Pi*sum(sin((2*n-1)*x)/(2*n-1),n=1..N);

I think S and T should be the same since it's just a substition of 2n-1 difference

however when I plot

 

i'm totally new with Maple so i really need help with this problem

graph the fucntion using various domains and viewpoints. plot some contour lines of the same function and compare with the graph.

f(x,y) = x*y^2 - x^3

thanks