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Matlab assignment.

Take the logistic map xi+1 = f(xi), f(x)=rx(1-x). Find numerically the r values for the first 2 bifurcation
If 10% of the attacking aircraft are expected to be shot down before reaching the target,what is the probability that out of 5 aircraft at least 4 will be shot before they reach the target ?
How to crop face detected from video and to make cluster of each face using kmeans clustering algorithm?
A car of mass m = 1000 kg is traveling on the flat straight road. The thrust developed by the engine is
f(t). Assuming that the air drag forces acting on the car are viscous, i.e., proportional to velocity and the
viscous damping coefficient is 50 N-s/m.
Find the transfer function representation for V(s)/F(s), where v(t) is the translational velocity of the
car.
Sketch the velocity response for the car if the input force f(t)= 50 N for t ≥ 0. Highlight the
relevant important transient and steady state response characteristics on the drawn plot. And verify using MATLAB)
what is dictionary learning ,image decomposition ,morphological component analysis,sparse coding and histogram oriented gradient in matlab
I need some help with my exercise, the exercise is this:

Write a program which implements the basic algorithm PSO of Kennedy & Eberhart. Any other version used should explain in writing the program documentation on what differs from the basic algorithm.

The program gives the user with a mouse click to define a point in space with a window size [min1, max1] and [min2, max2]. Then a cluster consisting of n = 10 particles initialized and searches for the point set initially by the user. The successive positions of the particles of the flock shall be presented at each iteration of the algorithm giving the impression of movement of the flock. The program will end when all the particles of the swarm found on the point set by the user.

In addition, the program will give the user the ability to move the position originally set before the swarm find the point . In other words, the user moves the point to the cluster appear to ' hunt ' a target is this point . Another option is this: before the swarm approach beyond
I have to create an inverted pendulum simulation with using matlab.
I created my project on simulink but I also have to create an 3d simulation or GUI for my project for tomorrow.
Could you help me on this subject ?
Please help me .
k=input(' Enter the value of the spring stiffness k: ');
c=input(' Enter the value of the damping coefficient c: ');
m=input(' Enter the value of the mass: ');
t0=input(' Enter the initial time t0: ');
tf=input(' Enter the final time tf: ');
x0=input(' Enter the initial displacement x0: ');
v0=input(' Enter the initial velocity v0: ');
x=[x0 v0];
t=[t0 tf];

cr=2*sqrt(k*m);
z=c/cr;

disp(['the result ' num2str(z)]);

if z<1
disp('It is an Under-Damped Response')
[t1,x1] = Pro_1(k,c,m,t,x);
plot(t1,x1(:,1),t,x1(:,2),'Linewidth',2.5)
end



The Function is :

function [t1,x1]=Pro_1(k,c,m,t,x)
[t1,x1] = ode45(rif,t,x);

function xdot = rif(t1,x1)
xdot= zeros(2,1);
xdot(1)=x1(2);
xdot(2)=(-k/m)*x1(1)-(c/m)*x1(2);
end
end



Can anyone help me please ???
create a matlab program that will read images a,b,c Compute and display the Average optical density (AOC) of the three images
Hi, I haveto get the angle of the total scattering of particles in rutherfords scattering, so far ive been able to simulate the rutherford scattering but i have not been able to get the angle, i know this angle can be given by sin^(-1)(theta)= change in y axis/ change in x axis. The problem is i dont know how to get this in matlab. any help would be much appreciated. ps the change in y is from top to bottom, ie negative and the change in x is from right to left, negative again. Thanks again for any help
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