Assume that a file containing a series of cities (as strings) is named cities. txt and exists on the computer’s disk. Write a program that displays the number of names that are stored in the file. (Hint: Open the file and read every string stored in it. Use a variable to keep a count of the number of items that are read from the file.)

6. write a user-defined matlab function for the following math function: r() = 4cos(4sin ) the input to the function is  (in radians) and the output is r. write the function such that  can be a vector. a) use the function to calculate r(/6) and r(5/6). b) use the function to plot (polar plot) r() for 0 ≤  ≤ 2. hint: use “ polar” and/or for “polar plot in matlab." include the title “'r(\theta)=4cos(4sin(\theta))”