The inverse of a map is a new map where the values of the original map become the keys of the new map and the keys become the values. for example, given the map {1: 2, 3: 4}, the inverse is the map {2: 1, 4: 3}. given the map, d, create the inverse of d. associate the new map with the variable inverse. you may assume that there are no duplicate values in d (that is no two keys in d map to the same value).

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?

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Java the manager of a football stadium wants you to write a program that calculates the total ticket sales after each game