1- Create a new script that is called HW8.m and save it. The script will do the following: a. Assign x to the input statement that states the following: "Enter the value for size of the pipe diameter:' b. Declare a sequenced vector t that starts from 0 to 4 with step size of 0.001. C. Using if-elseif-else statement that would do the following: i. If 00)&&(x 15 then plot f(t) = 1.5cos(15t)*exp(-2.2t) and show the grid. Hint: use index multiplication for f(t). iv. Else display a message 'Error. The diameter must be a positive value Note that for d. Test your code for each of the cases. e. On the same script, create a random integer that goes from 0 to 5 and assign it to a variable y using the following command: y=round(rand(1,1)*5); f. Use a switch-case statement that would switch on y such that it will evaluate the following cases: i. Case 0 display 'The random number is 0 ii. Case 2 display 'The random number is 2' iii. Case 4 display 'The random number is 4 iv. Otherwise display 'The random number is Odd' g. Test your code for each of the cases and upload your script as a.m file