Write each of the following arguments in argument form. Then, use the rules of inference to show that each argument is valid. 1. Let P(x) be "x is a student in this class,"(x) be 'x does not own a car," and R(x) be "x takes the subway every morning." where the dom consists of all people. a. (15 pt.) Jack is a student in this cl Jack does not own a car. Everyone who does not own a car takes the subway every orning. Therefore, someone in this class takes the subway every morning. Let P(x) be x is a student in this class," (x) be x owns a computer," and R(x) be "X can use a word processing program, where the dom ain consists of all people. b. (15 pt.) Every student in this class wns a computer. Everyone who owns a computer can use a word processing program. Kate is a student in this class. Therefore, Kate can use a word processing program. Let P(x) be "x has taken Caiculus I," Q(x) be "x has taken Program Design I," and R(x) be 'x has permission from the instructor to enroll in this class," where the domain consists of all students in this class. c. (20 pt.) Every student in this class has taken Calculus I or Program Design I. Every student who has not taken Calculus I but has taken Program Design I, has permission from the instructor to enroll in this class. Therefore, every student who does not have permission from the instructor to enroll in this class has taken Calculus