3. Let p. q. and r be the propositions: P: You get an A on the final exam. q: You do every exercise in this book. : r: You get an A in this class. Write these propositions using p. 9, and r and logical connectives (including negations). a) You get an A in this class, but you do not do every exercise in this book. b) To get an A in this class, it is necessary for you to get an A on the final. c) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class. d) You will get an A in this class if and only if you either do every exercise in this book or you get an A on the final. e) You can get an A in this class only if you do every exercise in this book and you get an A on the final exam