Given the same input, i. e., a sequence of characters starting with∧and ending with #, and any combination of 0s and 1s in-between, specify a set of rewrite rules that determine whether the string contains the same number of 0s and 1s. Here is some sample "output": $0011# should be rewritten as $#

$1001 # should be rewritten as $#

$110110# should be rewritten as $11

$000 1 1 00 should be rewritten as $000#

In other words, the $# indicates that the input string has the same number of Os and 1s. If the string does not contain the same number of 0s and 1s, the resulting string shows how many more Os or 1s there are in the input string.

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?

Read the following scenario, and then answer the question below. you want to send an e-mail to your boss requesting a meeting to discuss a raise. what is the best example of an e-mail to an employer about this meeting? “hey jason. can we chat about getting me more money soon? let me know. peace, meg.” “hello jason. pardon me for sending yet another e-mail today about my need to talk to you about my position and a possible pay increase. i am dying to know when you can talk. sincerely, meg.” “hello jason. i have been with the company for one year and have taken on more responsibilities than outlined in my job description. i would appreciate an opportunity to speak with you about my position. let me know when we can schedule a meeting. you, meg.” “greetings jason! i hope this e-mail finds you well and happy today. i really, really want to talk to you about something important. i am not sure if you have time. i hope you do. get back in touch with me and let me know when we might talk. ever so much for taking the time to read this. sincerely, meg.”

What is a loop? a. a collection of function definitions at the top of a program b. a line of code that defines a variable and assigns it a value c. a program that opens the turtle graphics window d. a block of code that repeats a specific number of times