Develop a MATLAB user-friendly program to implement one of the methods for solving partial differential equations (PDEs). Design the program so that it demonstrate your creativity and ingenuity in applying obtained knowledge in PDEs for the solution of practical, “real-life” problems. Test the program by using data from examples.

Write a MATLAB program to plot the curve of the quadratic equation x 5x + 6 = 0 and find whether both the roots of the quadratic equation lies in the range [-5,5] or not.

I need help with programming in MATLAB.Can you create a function where cartesian coordinates (x,y,z,vx,vy,vz) are transformed into Kepler elements (a, e, i, raan, argp, f) and then create another function where those Kepler elements are tranformed back into cartesian coordinates.

2. Write a MATLAB program to plot the curve of the function e4. Assume the value of t yourself.

Write a program using matlab code.

I need help with MATLAB programmin. I am having a hard time with plotting in MATLAB. The following outputs a plot of the earth with a orbit inside it. The problem is that the calculations in the orbit do not include the radius of the earth. How do I increase the radius of the orbit by the radius of the earth to make the orbit outside of the earth. I tried adding the earth's radius to the x,y,z coordinates, but that only changes the place of the orbit in the plot not the radius.   % Given parametersomega_earth = rad2deg(7.2921151467e-5);period_of_repetition = 1 / 2;ecc = 0.74;inc = 63.4349;raan = -86.915798;argp = 270;f = linspace(0, 360, 100);mu = 398600.4418;t = 0:99; % Calculate semi-major axisa = ((omega_earth * period_of_repetition) / (360))^(-2/3); % Calculate periapsis and apoapsis distancesperiapsis_distance = a * (1 - ecc);apoapsis_distance = a * (1 + ecc); % Initialize arrays to store Cartesian coordinates and velocitiesx = zeros(1, 100);y = zeros(1, 100);z = zeros(1, 100);vx…