A disk has 900 cylinders and the capacity of 300 MB. The number of revolutions per minute is 7200 and the seek time (t) as a function of the number of cylinders traveled (x) is t(x)-x [millisecond] (a) Compute the average access time for a contiguous file whose size is 100 MB. (b) Write a simulator that verifies the obtained analytic result. (b) Compute the average access time if this disk uses a cache memory that has the capacity of 1/2 50 MB and the access time of 1 ms