1. (20 points, 5 points each) Write the following statements as a logical proposition using the following propositional functions, quantifiers, and logical operators. M(x, y): x has sent y an email message Domain: all students in your class T(x,y): x has telephoned y Note: Alice and Bob are students, a. Bob has never sent an email message to Alice. b. Alice has sent everyone else in your class an email message. c. There are two different students in your class who have sent each other email messages. d. Every student in the class has telephoned another student in the class