## How to solve that recursion?...

Given the sequence defined by the recursive relation a[n+1] = r*a[n](1-a[n])
You need to use the procedure iterate.
Throughout this problem you should choose initial values in the interval 0<a0<1.
(a) Let r=3/2. Calculate a moderate number of terms in the sequence (between 10 and 20). Does the sequence appear to be converging? If so to what value? Does the limit depend upon your choice of initial value? Plot the terms you have calculated
(b) Let r=2.8. Calculate a moderate number of terms in the sequence (between 10 and 20). Does the sequence appear to be converging? If so to what value? Does the limit
depend upon your choice of initial value? Plot the terms you have calculated How does this sequence differ from that in part (a).
(c) Let r=3.2. Calculate a moderate number of terms in the sequence (between 10 and 20). Show that the sequence does not appear to converging. Plot the terms you have calculated and describe how the sequence behaves in this case.
(d) Consider intermediate values between 2.8 and 3.2 to determine more precisely where the transition in behaviour takes place. Provide a few plots (no more than 4) showing the values you have investigated.
(e) Consider the values of r in the range 3.43<r<3.46. Determine as accurately as you can the value of r for which the period of oscillation doubles.
(f) As r increase further period doubling occurs. Try to find the when the sequence appears to oscillate between 8 values.
(g) Let r =3.65 and calculate a considerable number of terms (at least a few hundred) and plot your values.
(h) For r=3.65 choose a0=0.3 and then a0=0.301. Find and plot some terms in the sequence for each initial value. Determine how long the terms in the two sequences remain close together and when they begin to depart significantly from each other.

## Error in program...

Hello all! I've just learned about Maple. My English is not very good :( I write matrix A:=L*U program. If you know it, you will understand my mind. But I received "error" from Maple. Thanks for your viewing

A=LU.mw

## Can you help me with the program...

hello eveyone! sorry, my English is not very good

I writed Neville algorithm

I want to creat a table(or a matrix) Q with

example:

f:=X->2^X;

with value of X: -2,1,0,1,2

-2   1/4

-1    1/2

0    1

1    2

2     4

I want to approximate f at x=0.5 by Neville

then:   for i:=2,...,n   (that case is 5)

for j:=2,...i

Q[i,j]=(x-X[i-j])*Q[i,j-1]-(x-X[i])*Q[i-1,j-1])/(X[i]-X[i-j])

output(Q)

this is:

-2  1/4     0       0            0          0

-1  1/2     0.875  0           0           0

0  1         1.25   1.3475    0           0

1  2         1.5    1.4375   1.421875  0

2  4         1      1.375      1.40625  1.412109375

do you understand my mind? sorry, my English is not very good

Regards

sunflower

## Derivatives in Maple...

Hey, I need to answer this question, not sure where to start..Any help/tips would be much appreciated....

Bob wants to explore the effect of changes in a, b and c on the function h, where h(x, y) = ∂ 2 /∂x∂y (ay sin(bx + c)). How should Bob do this so that if he redefines the variables a, b, or c later in the Maple session, subsequently computed function values h(x) use the new values of a, b, c?

## Multidiff derivatives...

I need to replace the "MISSING" in MultiDiff := proc(f,n,x) ---MISSING--- end proc; so that MultiDiff(f,n,x) evaluates as f (n) (x) if f is a suitably differentiable function, n is a positive integer, and x is an undefined variable..F(n) being an nth derivitave..Not sure where to start..Any help appreciated

## How do i plot a curve using a parametric plot...

we have a curve (x^2+y^2)^2=x^2-y^2

parametric representation of the curve is given by

x(t)=cos(t)/1+sin^2(t)

y(t)=sin(t)cos(t)/1+sin^2(t)

and we are asked to plot the curve using a parametric plot for -Pi<t<Pi

## solving linear programming...

hello

how to solve lp  on maple when consrtaints are in interval

eg

0<x<1

i try to find this on maple,but i could not found my desired ans.

i got an assignment in which 15 constraints are given and all are in interval.

anyone know the ans then plz help me

## Problem in combinatorics...

How many numbers exist which are: less than 1000, multiple of 18 and also multiple of 10? Use Maple to find the answer

## What is wrong with code?...

Hello everyone! My English is not very good.

I have writtien Lucas sequence program:

F := proc (n::nonnegint)

option remember;

if n < 2 then n else F(n-1)+F(n-2)

end if;

end proc;

L := proc (n::nonnegint)

if n = 0 then return 2 end if;

if n = 1 then return 1 end if;

if n <> 0 and n <> 1 then return

L(n-1)+L(n-2) end if; end proc;

S:=proc(n::nonnegint)

local i;

for i from 1 by 1 to n do   S(i)=L(i)^(2)-5*F(i)^(2);

print("%a",S(i));  end proc:

And Maple notice :error

I don't know call procedure inside another procedure.
Thank you so much

Regards

sunflower

## What is wrong with my program?...

Hello everyone!

Prime:= proc (a, b)

local i, p, r;

p := ();

r :=() ;

for i from a to b do

if isprime(i) then p := p union (i) end if;

if type(sqrt(p[i]-1), integer) then r := r union (p[i]) end if;

end do

end proc;

Prime(1, 10)

My English is not very good. I don't know what erros I get in my program. Thank everyone

## What is wrong with my code?...

f:=proc(x)
return 2^x
n:=5
M:=-2,-1,0,1,2
P:=1
for k to n+1 do
L:=1
for i to n+1 do
if i<>k then
L:=L*(x-M[i])/(M[k]-M[i]); end if; end do;
P:=P+f(M[k])*L;
end do;
I write Lagran algorithm. sorry, my english is not very good

## What's wrong with this code? ...

and why are there decimal points after certain numbers?

I'm taking 2nd semester calculus and in this maple lab, I can't seem to get Maple to evaluate this correctly. Any help is appreciated.

My friend did this and got the first constant, 392..., and just a2, so it was 392.07a2

## How to create plot in Maple?...

Hello all! How to create this plot in Maple?

## Calculus assignment...

I am doing a Calculus assignment and I can't find the commands for certain things.

1.Given the function f(x) = ((x+1)^2) / (1+x^2)

i) The domain of continuity of f(x)

ii) The intervals of increase and decrease of f(x) by using test points.

2. Use the IVT to prove existence of a root to the equation x^3 +10x^2 -100x +50=0 in the interval [-20,10]. Use again the IVT to show that there is a 1st root in [-17,-15], a 2nd toot in [0,1] and a 3rd root in [ 5,6]. Find or approximate those roots with Maple. (the bolded is what I need help).

## How to plot function using the solution of ODE?...

I want to plot E with respect to t.

I typed the sys of this equation and try to plot it with DEplot but failed.

This is the code

DEplot([sys], [x(t), y(t), E(t)], t = -25 .. 25, [[x(0) = -.3, y(0) = .2]], scene = [E(t), t], stepsize = 0.5e-1, linecolor = red, arrows = none);

The error is Error, (in DEtools/DEplot/CheckDE) derivatives must be given explicitly.