## 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)

## table of two on maple...

I want to generate table of 2 , how can i do this?

## compute the error and op function...

Hello,

Questions

1)  Can we compute the error  ( x(t-2*Pi) - x(t) )  without plotting  abs(  x( t-2*Pi ) - x(t) ) ?

i.e. using norm 1, 2 or infinity  ?

2)  what is op( [ a, b, c] , F ),  where F is a piecewise function ?

## How do I use these 2 lines to find the distance be...

Please help me solve this question using maple (need the steps in solving).

## How to draw these geometric objects?...

Hi, there

How can I draw the excircles, incircles,circumcircle and their centers of a triangle simultaneously with maple13 in a geometric plot? please specify the commands.

many thanks for your help

M.R.Yegan

## Error when dsolving...

Been working on a diffy q project, new to maple here. Any help is appreciated. Keep getting a similar error.

"Error, (in dsolve/numeric/type_check) insufficient initial/boundary value information for procedure defined problem"

I thought I gave it initial values?

link to screenshot of the error bellow:

http://i.imgur.com/YVE1x7e.jpg

## Bifurcation plot for ODE system with delay...

Consider the following dynamical systems with time delay:

diff(x(t), t) = y(t)-bx(t)^3+ax(t)^2-z(t-tau)+I

diff(y(t), t) = c-dx(t)^2-y(t)

diff(z(t), t) = r(s(x-beta)-z(t))

Here the values of the parameters are a = 3, b = 1, c = 1, d = 5, s = 4, beta = 1.6, r = 0.6e-2, I = 3.0

How to write code for bifurcation plot for the above differential equations with delay.

Delay as taken as bifurcation parameter.

Reply message is very useful.

## Simple command for Euclidean algorithm...

>M1:=146996733613391:

>M2:=1348471408813:

>teks:=numtheory[cfrac](M1/M2,'quotients');

tekssifer:=[109,101,115,115,97,103,101]

Hi, how should i rewrite my command to decrease the execution time?

Thank you~=]]

## Solar System Project Code Help...

solarsysem.mw Sorry for the repost but this is my newest document.

I have to create a solar system model on maple by defining a force equation then using the seq function to create a diffeq and then solving those differential equations using the initial conditions with the sun at (0, 0, 0) in xyz coordinates.

It works until my last "ic1" entry and I get an error in dsolve/numeric/process_input

I'm pretty desperate, I'll appreciate any help I can get

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