By using one of the identities (9)and (IO) in Sec. 39 and then proceeding as in Exercise 15. Sec. 38. Jlnd all roots of the equation (ti) sinh:. = i: Ans. (a) (b) :. = I (b) cosh:.: = -. '") ( 211 + ~) ;ri ( 211 ~) ;r i (11 = 0. I. 2 .... ): (11 = 0. I. + 2 .... ).

Lecture 1 Monday,September28, 2015 9:03 AM Deductive Reasoning • P standsforpremises& Q standsforconclusionin thiscase. • Example1) It will either rain(P) or snow (Q) tomorrow. It's too warmfor snow (Q). Therefore, it will rain(P). ○ P or Q; not Q; therefore P. • Example2) If today is Sunday, then I don't have to work. Todayis Sunday (P), therefore I don't have to work(Q). ○ If P, then Q. P; Q. • Example3) I will goto work either today(P) or tomorrow(Q). I'm going to stay hometoday (not P). Therefore, I'llgo to work tomorrow(Q). ○ P or Q; not P; Q. ○ The premises in argument3 arethe statements “I willgo to workeither tomorrowor today” and “I’mgoing to stay home today.”The conclusion is “I will goto worktomorrow