Convert the following 4th order ODE into a system of four first orde ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. %3D 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t)- 4y(t) = 20e2t | y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = 13 %3D %3D %3D

Write MATLAB code to perform the following math expression: a) X=7, a=X+2 5 12 2 b) A= 22 L27 4 48 7

HW 2_2 The volume of a partially-filled spherical tank can be computed as: V = πα 3 (3R – d); where d is the depth of the water in the tank (m) and R is the radius of the tank (m). Given that R=3m, to what depth must the tank be filled so that it holds 30 m³? Write a PYTHON code & implement the bisection algorithm to answer the question correct to 3 sig figs. Plot to select your own initial guesses. Display the answer in an informative sentence, using formatted printing.

This code keeps on generating graphs with different curves. The picture that you see two different graphs comes from the same code but both of them have different curves. I need the curve to look like the picture that only has one graph. I basically need the line to have a slight curve and every time I run the code it will come up as the same graph every time. Use this code on MATLAB and fix it % Sample data for Diesel and Petrol cars carPosition = linspace(1, 60, 50); % Assumed positions of cars % Use the 'seed' function instead of 'rng' seed = 50; % Define your seed here rand('seed',seed); % Assumed CO2 emissions for Diesel and Petrol CO2Diesel = 25 + 5*cos(carPosition/60*2*pi) + randn(1, 50)*5; % Random data for Diesel CO2Petrol = 20 + 5*sin(carPosition/60*2*pi) + randn(1, 50)*5; % Random data for Petrol % Fit polynomial curves with a reduced degree of 2 pDiesel = polyfit(carPosition, CO2Diesel, 2); pPetrol = polyfit(carPosition, CO2Petrol, 2); % Generate points for best fit…