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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?

The program below has been generalized to read a user's input value for hourlywage. run the program. notice the user's input value of 10 is used. modify that input value, and run again. generalize the program to get user input values for workhoursperweek and workweeksperyear (change those variables' initializations to 0). run the program. monthsperyear will never change, so define that variable as final. use the standard for naming final variables. ex: final int max_length

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