Question

2. A. Write a MATLAB code to plot the function ?(?) = 4 − ? ^2 * ? ^−3? for the time range 0 ≤ ? ≤ 3 seconds. Plot the function using the following two methods: I. Use MATLAB’s colon operator and vector operations. II. Use iterations (for-loop) and scalar operations. B. Let ? = −3, 1, 5, … ,21. I. Find the summation of the elements of ? that are greater than the 4 ?ℎelement and less than or equal to the last element. Store the output in sum_x. II. Rearrange the elements of ? in descending order and store the new vector as x_des.

Answer 1

PLEASE REFER BEOW CODE

close all
clear all
clc

%A)plot the function ?(?) = 4 − t ^2 * t ^−3? for the time range 0 ≤ t ≤ 3 seconds.
%I) Use MATLAB’s colon operator and vector operations.
t = 0:0.1:3; %create vector using colon operator
f = 4 - t.^2 .* exp(-3 * t); %given func
%plot function
figure();
plot(t,f);
xlabel('time (t)');
ylabel('f(t)');
title('t vs f(t)');

%II) Use iterations (for-loop) and scalar operations.
%loop through each of t value and calculate f(t)
for i = 1:length(t)
f(i) = 4 - ((t(i) * t(i)) * exp(-3 * t(i)));
end

%plot function
figure();
plot(t,f);
xlabel('time (t)');
ylabel('f(t)');
title('t vs f(t)');

%B)
%I)I. Find the summation of the elements of ? that are greater than the
%4 ?ℎelement and less than or equal to the last element.
x = -3:4:21
sum_x = sum(x(5:end))

%II) Rearrange the elements of ? in descending order and store the new vector as x_des.
x_des = flip(x)

PLEASE REFER BELOW OUTPUT