1) (80 points) Derive the expression of the optimal packet size Smax that maximizes the efficiency. Express Smax as a function of the bit rate br, the propagation time Tp, and the bit error rate ber. (Hint: a function f(x) is optimal for some value x0 if and only if f'(x0)=df(x)dx=0. In other words, derive the function f(x) and solve f'(x0) = 0.

1. declare a constant named cents_per_pound and initialize with 25. 2. get the shipping weight from user input storing the weight into shipweightpounds. 3. using flat_fee_cents and cents_per_pound constants, assign shipcostcents with the cost of shipping a package weighing shipweightpounds.

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm(squared) of sheet metal? dimension the side length to 0.1 cm

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."