Modulo is an operation that finds the remainder after division

Modulo is an operation that finds the remainder after division. In MATLAB the function mod(x,y) does this operation, and rounds up to the nearest integer. We know that 1/2 = .5, therefore in MATLABmod(1,2) = 1 (remember, mod(x,y) rounds up). If 2 numbers are divisible, mod will return 0. Write a MATLAB program that finds if y is divisible by 2, where y = x². X is every 3^rd number from 3 to 30.

The Correct Answer and Explanation is :

n MATLAB, the mod(x, y) function computes the remainder after dividing x by y.ontrary to the statement that “mod(x, y) rounds up to the nearest integer,” the mod function does not perform any rounding; it returns the exact remainder of the division.or example, mod(1, 2) yields 1 because when 1 is divided by 2, the quotient is 0 and the remainder is 1.imilarly, mod(4, 2) returns 0 since 4 is exactly divisible by 2.
To determine if a number y is divisible by 2, we can use the mod function: f mod(y, 2) == 0, then y is divisible by 2; otherwise, it is not.
Given the task, we need to:

1. enerate a sequence where x takes every third number from 3 to 30.2. ompute y as x^2 for each x in the sequence.3. heck if each y is divisible by 2.
   Here’s a MATLAB program that accomplishes this:

“matlab
% Generate the sequence of x values: every third number from 3 to 30
x_values = 3:3:30;

% Initialize an array to store the results
results = zeros(length(x_values), 2);

% Loop through each x value
for i = 1:length(x_values)
x = x_values(i);
y = x^2;
% Check if y is divisible by 2
is_divisible = mod(y, 2) == 0;
% Store the results
results(i, 🙂 = [y, is_divisible];
end

% Display the results
disp(‘ y Divisible by 2’);
disp(results);
“`
Explanation:

1. Generating the Sequence: he expression 3:3:30 creates a vector starting at 3, with an increment of 3, up to 30. This results in the sequence [3, 6, 9, ..., 30].
2. Initializing the Results Array: e create a results array with the same number of rows as x_values and 2 columns to store y and the divisibility check result.
3. Looping Through x_values: or each x in x_values, we compute y as x^2.
4. Checking Divisibility: e use mod(y, 2) == 0 to determine if y is divisible by 2. If the condition is true, is_divisible is set to 1 (representing true); otherwise, it is set to 0 (representing false).
5. Storing and Displaying Results: e store each y and its divisibility result in the results array and then display the array with appropriate headers.
   his program will output a table where each row corresponds to an x value from the sequence, its corresponding y = x^2, and a boolean indicator (1 for true, 0 for false) showing whether y is divisible by 2.