By using MATLAB:

1. Create a vector x -sin.1 pi+9) for 10,000 evenly spaced points between 0 and 100. Write a 'for loop that does the following: Displays the value of the iterator within each iteration using the fprintf command. Check to see if the jth entry of x is bigger than .5 a. b. i. If it is, add 1 to a counter Otherwise, check if the jth entry of the counter is smaller than -2 c. i. If it is, add 1 to a different counter Finally, think of a way to achieve the same counts without writing a for loop. We learned how to do this last week using logicals. Use the timing functions tic and toc to see the difference in timing