Maple Questions and Posts

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Hello Colleagues, I attached a maple worksheet. 
View 9494_Graph_Components.mw on MapleNet or
 Download 9494_Graph_Components.mw
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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.

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.

Problem Statement: In a catalytic reaction that follows a mechanism known as the Michaelis-Menten kinetics, the reactant (S) combines reversibly with a catalyst (E) to form a complex (ES) with a forward and reverse rate constant of k1 and ki, respectively. The complex then dissociates into product (P) with a reaction rate constant of k2 and the catalyst is regenerated.

I would like to accesse the value of a slider in a Maplet, and use it in a computation in a procedure.

My problem is that using Get(Slider1) does not give me a real number to work with. What kind of object is the value of Slider1, and how do I convert it into a real number?

i am trying to solve a set of 12 nonlinear equations using maple but the fsolve command if returning the command text as output.

can any one please help?

 

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