HI to all!

I've a math question about the Hessian Matrix. I know that it's used for clasify critical points of a 3-D function, but what happens if the Hessian is undefined (Hessian = 0) in a point?... How i can analyze the critical point?...

A particular sample is:  f(x,y) = (y-x)^2*(y+x).

The gradient vector of this function is: grad(f)= [ 3x^2 - 2xy - y^2 , -x^2 - 2xy + 3y^2 ]. To find critical points we have to do grad(f)=0 (vector). And in this case it's easy to verify that the critical points lie in the Y=X line.

hi

i have to calculate a extreme value for a box that is open on one side that should have a volume of 32.

V = x * y*z

For the surface ob the box-sides i used this function:

O = 2xz + xy + 2yz

my idea was to solve this in maple using lagrange because i ve a side condition

with(RealDomain):
L:=(x,y,lambda)->x*y + 2*x*z * 2*y*z +lambda*(x*y*z-32);
solve({diff(L(x,y,lambda),x)=0, diff(L(x,y,lambda),y)=0, diff(L(x,y,lambda),lambda)=0});
evalf(%);

it gives me for my values x = 32/x*y; y = y; z =z

Hello! I would like to know if there is a way that Maple finds the equation on its own. I have a table of x values and y values and after plotting them I would like to find a trend line by least square.

I would use the chain rule twice:

f(s,t) = e^u

u = sin(s*t);

u = sin(v);

v = s*t

v' = s;

u' = cos(s*t*)*s

f' = e^cos(s*t)*s

Maple adds *ln(exp), what's wrong with my way?

complete maple output: exp^sin(s*t)*cos(s*t)*t*ln(exp)

I want to create a list of the first 100 prime numbers.  I remember vaguely the use of seq and type but I can find it in the differents forums.  Could someone state it again for me.  thanks!

Hi,

I have a matrix

 

A:=<<1,-3,2>|<-2,6,-4>|<2,-1,5>|<3,1,8>|<-1,-7,-4>>;

 

how do I find a basis of im(A)?

Thanks

 

Chen

Hello everybody,

I am using the GF package from Maple to solve an equation with elements of a given galois field. It looks like that:

field := GF(7, 1):

eq1 := x = y^2:
eq2 := x^2 = y^4:
equationToUse := eq1:

isSolving := false:
use field in  
    isSolving := is(eval(equationToUse, [x=field:-random(), y=field:-random()]));
end use:

if isSolving then
    print(`Equation solved`);
end if:
 

The Maple Manual says to use a parametric plot to graph a circle.  I've been fiddling with the syntax  but can't seem to get it right.  I want to plot

x^2 - 2x + y^2 = 0,           which can be written as

(x-1)^2 + y^2 = 1

Can someone please give me the PLOT command to plot this circle?

Allan

I wrote a procedure shrinkTime:=proc(n::posint); The procedure only works with a positive integers and I need to plot this function. However, whenever I goto plot it; plot(shrinkTime(n)); I get this error: " Error, invalid input: shrinkTime expects its 1st argument, n, to be of type posint, but received posint" How can I specifically instruct maple to only plot at points where x is a positive integer?

My question is concerning finding Px(k) for a problem. There is a basketball player who takes two foul shots. The P of making the first is 2/3. Then assuming she missed the first, the P of making the second is 3/4, but if she makes the first, P of making the second shot is 1/2. X is the number of shots made. I have to find Px(k) for k=0,1,2, and then E(X). My first concern and real problem is that I'm not sure how to find Px(k) for one shot made since the probabilities for making one shot have two possible answers.

How do i get 20th iteration for following fixed pt problem

x = exp(-x/2)

Please help.

How do i get 20th iteration for following fixed pt problem

x = exp(-x/2)

Please help.

How to find 20th iteration for following fixed point problem.

x = exp(-x/2)

Please help.

with(Statistics):

X := ["A"=2,"B"=3,"C"=5,"D"=6];

BarChart(X);

 

This works just fine, but if I try to execute

 

ColumnGraph(X);

 

I get plotting error, non-numeric vertex definition.  These two functions are in the same help file, so why aren't they accepting the same syntax?

Occassionally when I simplify maple puts a negative sign out front.  How do I get maple to put it back in the equation?

Something like (3+4i)/(-3+7i)  When I simplify maple shows   -  (3+4i) / (-7i+3) 

I'm really not sure why maple would factor out a (-1).   In any case how do I reverse it?