Let P be the quicksort program where the larger of the first two distinct elements is chosen as the pivot element. Which of the following input permutations will lead to the best performance of P? a. [1 2 3 4].
b. [4 3 2 1].
c. [1 3 2 4].
d. [1 3 4 2].

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?