## Computing velocity and position with a random vari...

If a particle that moves in only one dimension is subject to a force Fi between the time

steps ti and ti+1, the velocity vi and position xi of the particle is:

v[i] := v[i − 1] +(1/m)*F[i]*Δt

x[i] := x[i − 1] + 0.5 (v[i − 1] + v[i])

Use the mean of v between ti and ti+1 when updating xi, since the value may change

a lot from step to step. In the subsequent, we set the mass m = 1 and the time steps

are Δt = 1, since we could absorb m and Δt in the expression for the force Fi anyway.

Write a procedure that computes xi and vi for a particle subject to random forces Fi,

uniformly distributed on the interval [-0.5..0.5].

I`ve written a procedure that generates random forces (F[i]) in the given interval. How can I write a for – procedure that computes xi and vi ?

## Revised Simplex Method...

I have to generate a code for carrying out the matrix form of the revised simplex method. I have a code in place but am struggling to convert the constraints into canonical form and introduce the penalty function. If anyone has any ideas I'd be very grateful!

Best Regards

## How to solve these two problems?...

Hello dear Maple,

My name is Bulat, I'm student of Kazan National Research Technical University ( Russia). In our High Program we used your product ( Maple V, Release 4). Now I have two problems and I haven't no idea how I resolve their. I am forced to ask for your help. I upload PrintScreen of my two problems. Please help me to solve them. I' ll be grateful for your help. Sorry for my English :(.

Yours very truly, Bulat

## How Do I Write A Regula Falsi Program In Maple?...

f := unapply(x^2-2, x); a := 1; b := 2; n := 10; Digits := 10;
2
x -> x  - 2
1
2
10
10
c := evalf(eval((a*f(b)-b*f(a))/(f(b)-f(a))));
1.333333333
if  f(c)*f(a)<0 then ;
"      k:=evalf(eval(|(f(c))/(b-c)|)) and "

/(1 + k) a f(b) - b f(a)\
x[i] := evalf|-----------------------|
\  (1 + k) f(b) - f(a)  /
"     elif f(x[i])*f(a)<0 then b:=x[i]"
"     else b:=c and a:=x[i] "
"     if f(c)*f(a)>0 then "
"      k:=|(f(c))/(b-c)|and "

/a f(b) - b f(a) (1 + k)\
x[i] := evalf|-----------------------|
\  f(b) - f(a) (1 + k)  /
"     elif f(x[i])*f(a)>0 then a:=x[i]"
"     else a:=c and b:=x[i] end if"

Error, unterminated 'if' statement
Typesetting:-mambiguous(Typesetting:-mambiguous(

if fApplyFunction(c)sdotfApplyFunction(a)lt0 then ,

Typesetting:-merror("unterminated 'if' statement")))

## Fourier Series ...

how to solve  Fourier Series on maple ??

## MacLaurin series ...

how to find the ﬁrst 6 non-zero terms of MacLaurin series of the function erf(x)

## how do I found MacLaurin series of the error funct...

Find the first 6 non-zero terms of MacLaurin series of the function erf(x)

## How to solve sum in maple?...

Consider the expression n=1 (-1)n e*n/n2

1. Find the symbolic value of this sum.

2. Find an approximation for the value when = -2.

3. Build a function to calculate an approximation for the value of the given expression for

any value for

## Vectors and Euler's method help...

Hi, I need help with this little university assignment.

See the thumbnail below.

I have been away from the class because of a staph infection and missed the notes about vectors and Euler's formula.

It would be helpful if someone could give a rundown about how to solve the problems or give a general solution.

-Thanks

## Help with a little assignment...

Hi,

Im new to Maple and have a hard time trying to get used to it. I've understood the basics, but I have still trouble with solving more complex exercises.

The assignment:

In the lectures it was discussed that the air resistance of a body moving with velocity v may be written:

FD(v) =1/2*C*p*A*v^2 . (1)

with a drag coefficient C which is almost constant on a wide range of Reynolds numbers. Here p  is the density of the air. In most contexts, A is the bodies cross-sectional area, but for aircraft it is common to use instead the wing’s area. The drag force is directed opposite to the direction of motion. For a asymmetric bodies such as the wings of an aircraft, additional forces, such as the lifting force, which is perpendicular to the direction of motion, appear. It may be written written in a form similar to (1):

FL(v) =1/2*CL*p*A*v^2 . (2)

Here A is the area in the lift direction, here the wing area for the aircraft. The lift coefficient CL is approximately constant over a wide range of Reynolds numbers.

a) When an aircraft flies horizontally, the lift force FL must balance the force of gravity mg, where m is the aircraft’s mass and g = 9.81m/s2 the gravitational acceleration. Compute the velocity, v0, of a sport airplane at an altitude of h0 = 1 000m, where air’s density is  p= 1.10 kg/m3. The plane has mass m = 750 kg, wing area A = 18m2 and lift coefficient CL = 0.35 .

b) The propeller of an aircraft transmits power from the engine to the surrounding air. This power is used entirely to overcome the drag force. Compute the engine’s power P0 = FDv of the sport plane when it flies at a velocity v = v0 if the drag coefficient (based on the wing area) is C = 0.030.

## iterative method for nonlinear equation...

hy

i have to develop a code i which i have system of nonlinear equation

i have to generate the matrix of that nonlinear equation then i want to do or apply any method say newton method and make a loop which help us to find a solution using some tolerance

at the end i get a result in form of a table which give nth matrix then value of function matrix at nth value then error i-e xn-x(n-1)

## How can I write a procedure to add all multiples o...

I need to write a procedure that adds all multiples of 5 and 7 less than an arbitrary number. I was thinking something maybe with mod? I am very new to Maple.

On in this same assignment, we are also supposed to generate a sequence using the Fibonacci equation but from an arbitrary pair of initial conditions. So if there are some parallels between these two problems, I would love to learn from that angle.

We recently in class learned about do loops, so if there is a way to attack these problems with do loops, I would like to hear!

## How do I use the cfrac function to convert a list ...

I need to change the following continued fractions into rational numbers using the cfrac function:

1)  [1 , 2]               2) [1, 1, 2]                3) [1, 1, ,1, 2]

Thanks,

Sara

## Wronskian for any list of functions...

hi i have this code that doesnt work and I cant find the problem. I cant make the matrix include more than 2 rows. i want this to give me the whole nxn matrix, and then the solution to the wronskian.

can you pls help?:) thanks!

with*linalg;
funcs := [x, 3*x, x^2, 5*x];
n := nops(funcs);
print*n;
printlevel := n;
count := 1;
listM[count] := funcs;
for i from 2 to n do listN := diff(funcs, `\$`(x, i-1));
count := count+1;
listM[count] := listN end do;
M := convert(listM, matrix);
det(M)