MaplePrimes Questions

Hi,

I want to be able to identify terms in a multinomial expansion.

For example in (x+y+z)^3 i want to say that     x^2 y = x^2 z = y^2 x    etc.

Can anyone tell me how to do this?

Thanks

Jenny
 

For example I input:

 a := 1;
 b := 2;
 c := a+b;

then I press "cntr+=", and Maple gives me the answer:

 c := a+b=3

Is it possible to make maple show calculation steps, not only the result?

 c := a+b=1+2=3

Hello Colleagues, I attached a maple worksheet. 
View 9494_Graph_Components.mw on MapleNet or
 Download 9494_Graph_Components.mw
View file details
In which I have the following concerns:

Ok, here is what I tried to do:

restart;
with(Statistics):

X3 := RandomVariable(Binomial(n, p)):

k3 := n*(phi+ln(-1/(-exp(phi)+exp(phi)*p-p)))/phi;

j3:=algsubs(sqrt(Variance(X3))=sigma,k3);

 

When I do this, I receive an error message: "Error, (in algsubs) no variables appearing rationally in pattern".

I'm looking for a simple method of finding the maximum of a continuous function on a specific interval. I've thought about just checking endpoints and critical points on the interval... or discretizing the function on the interval in an array and doing it numerically... Or is there a quicker method I'm missing perhaps? The application is: I've got a complex rational function in the Laplace domain corresponding to an analog filter and I need a way of knowing the 3dB frequency, and to do that I need the max.

THese are the critical points:

 

(x,y) = (0,0)

(x,y) = (+/- sqrt (r) , r^2)

 

How do I plot this for various values of r >=1?

i cannot understand why the software is giving me such a stupid error???

can anybody please help!

I am solving a set of differential equations using the following command, numericalsol:=dsolve({ODEsys, ics}, numeric, method=rkf45) and I'm plotting my numerical solution using the following command, plots[odeplot](numericalsol,[t,w[1](t)],0..20); But when the solution is plotted the graph looks jagged and not smooth at all. I'm assuming that I am not getting enough points in my numerical solution and that's whats causing the problem. Is there any way to get more points so that my plot will look smooth?

Hi everyone.

In 1-D input and in the Maple calculator x^y^z is treated as ambiguous requiring brackets while in 2-D input it is mysteriously (to me anyway) evaluated as x^(y^z).

What part of my elementary education am I missing here which instructs me to treat  x^y^z as (x^y)^z or so I had always thought?

Seriously I'd appreciate an expert explanation.

Hi everybody out there! Here is a perhaps a newbe question! Is it possible in MapleSim to save a plot of, say x(t) with respect to t, as a table of values in a file? Let's say I have a 2D plot of x(t) with respect to t, and I want to save the table of values (t,x(t)) in a file where t ranges in t1, t2, ..., tn. Such a file is supposed to be used by external applications. Is this possible in MapleSim? Thanks for your hints. Sette
I have a set of datapoints, how do I match them to a curve and obtain intercepts and extrema? Ryan

How would I plot the direction field of y'=sin(y),   (pi,2) 

Im really new to maplesoft.

I did the following:

 

restart;
with(Statistics):
CRRA := t->((t)^(1-rho))/(1-rho);
X1 := RandomVariable(Geometric(q));
assume(t::integer, 0 < rho, rho <> 1, 0 < q, q < 1);
ExpectedValue(CRRA(X1));

As result I get a formula, where Maple defines _t0 (as far as I can see in italic font).

But why does Maple do so, and what does this mean?

 

Thx for answering.
 

how do i find the derivative of this? I dont know what to type into maple

C:=x->a(2*x^2+(V/x))+b(8*x+(V/x^2))

 

you have been hired to build a rectangular box with a square base. the volume of this box is to be 1000 cm3. you want to make this box at minimal cost. each of six faces costs [a] cents per square inch and gluing each of the 12 edges costs [b] cents per (linear) inch of length. find an equation that represents the total cost [c] as a function of x, the length of one side of the base. Suppose a=b=1, find the dimensions of the box of minimal cost. How much would this box cost to construct? Use the graph of c(x) to show that you have a minimum.
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