Using MATLAB

Create a vector x = sin(.1*pi*t+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

i. If it is, add 1 to a counter. c. Otherwise, check if the jth entry of the counter is smaller than -.2

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.