Consider a file system that uses inodes to represent files. disk blocks are 2kb in size and a pointer to a disk block requires 4 bytes. consider a file whose inode has 6 direct disk blocks, plus 1 single indirect, and 1 double indirect disk blocks. what is the maximum size of the file? if we use bitmap to manage the free space, how many disk blocks are required to hold the bitmap of 32 gb disk?

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?