MATLAB CODE:
clc
clear all
close all
syms t
x(t) = t^3 - t^4 + 2*t^5; % Distance
v(t) = diff(x(t),t,1); % Velocity
a(t) = diff(x(t),t,2); % Acceleration
fprintf('x(t) = ')
disp(x(t))
fprintf('v(t) = ')
disp(v(t))
fprintf('a(t) = ')
disp(a(t))
subplot(3,1,1)
fplot(t,x(t),'k','LineWidth',2)
xlabel('t')
title('x(t)')
grid on
subplot(3,1,2)
fplot(t,v(t),'k','LineWidth',2)
xlabel('t')
title('v(t)')
grid on
subplot(3,1,3)
fplot(t,a(t),'k','LineWidth',2)
xlabel('t')
title('a(t)')
grid on
OUTPUT:
Calculate v(t) and a of Functions Graph using Matlab xe), vC), a(t) 2ttt cox 2. lOt"-4t+2¢? t2(10t4t t3 1 +0 -...
using MATLAB solve for T3 if ALL other variable are known heat(1) == (m/M)*(((A-R)*(T3-T2))+((B/2)*(T3^2-T2^2))+((C/3)*(T3^3-T2^3))+((D/4)*(T3^4-T2^4))))
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2. For the transfer functions in problem 1 (a)(d)(e), find the corresponding impulse response functions h(t) using partial fraction expansion and determine the value of lim h(t) if the limit exists. Verify that lim- n(t)-0 for stable systems. (optional) After performing the partial fraction expansion by hand (required), yoiu are encouraged to use MATLAB to verify your results. MATLAB has a function called 'residue' that can calculate poles (pi) and residues (ci). For example, the following line will calculate the...
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