Assume the availability of a function called fact. The function receives an argument containing an integer value and returns an integer value. The function should return the factorial of the argument. That is, if the argument is one or zero, the function should return 1. Otherwise, it should return the product of all the integers from 1 to the argument. So the value of fact(4) is 1*2*3*4 and the value of fact(10) is 1*2*3*4*5*6*7*8*9*10. Additionally, assume that the variable k has been initialized with a positive integer value. Write a statement that assigns the value of fact(k) to a variable x. The solution must include multiplying the return value of fact by k.

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?