Compare the following two methods for sending a message using aes session key s and private key of alice. does one method has advantage over the other. justify for credit. i. eaes-s(m, time, rand) epr_a( h(m) ) ii. eaes-s(m) epr_a( h(m), time, rand )

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?