The order of magnitude in the state-of-the-art data volume, computing power, and network speed for a typical big data scientific application is: (a) 10MBytes, 100Mflop/s, and 10Mb/s, respectively. (b) 1GBytes, 10Tflop/s, and 1Gb/s, respectively. (c) 10TBytes, 10Pflop/s, and 100Gb/s, respectively. (d) 10YBytes, 1Eflop/s, and 1Pb/s, respectively.

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?