3. The file system in an OS needs to keep track of disk blocks that are in use (i. e., part of a file) and those that are not in use (i. e., not yet used in a file, or formerly part of a file now deleted). One way to do this is with a bitmap in which each disk block is represented by 1 bit indicating the block’s status (free or busy). For a filesystem with 1,464,145,922 512-byte blocks, how many 512-byte blocks would be needed to hold the bitmap

Write the command that can be used to answer the following questions. (hint: try each out on the system to check your results.) a. find all files on the system that have the word test" as part of their filename. b. search the path variable for the pathname to the awk command. c. find all files in the /usr directory and subdirectories that are larger than 50 kilobytes in size. d. find all files in the /usr directory and subdirectories that are less than 70 kilobytes in size. e. find all files in the / directory and subdirectories that are symbolic links. f. find all files in the /var directory and subdirectories that were accessed less than 60 minutes ago. g. find all files in the /var directory and subdirectories that were accessed less than six days ago. h. find all files in the /home directory and subdirectories that are empty. i. find all files in the /etc directory and subdirectories that are owned by the group bin."