Write a function in this file called nine_lines that uses the function three_lines (provided below) to print a total of nine lines. Now add a function named clear_screen that uses a combination of the functions nine_lines, three_lines, and new_line (provided below) to print a total of twenty-five lines. The last line of your program should call first nine_lines and then the clear_screen function. The function three_lines and new_line are defined below so that you can see nested function calls. Also, to make counting “blank” lines visually easier, the print command inside new_line will print a dot at the beginning of the line: def new_line(): print('.') def three_lines(): new_line() new_line() new_line()

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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?