Please answer all questions

Math 1003(2A) Assignment #4 DUE: Wednesday, October 18. 2023 at the start of class. Q1. Evaluate the following without the use of a calculator. Simplify your answer as much as possible. a) cosh (In(1)) d) In (tan (n/4) ) b) sinh (In(2)) e) arcsin (cosh(0)) c) cosh (2 In(3)) f) sinh(In(2) - 2 In(3)) Q2. For the function f(t) whose graph is given, state the value of each quantity, if it exists. If the limit is infinite use co or -co. If it does not exist, explain why. a) lim f(t) g) lim f(t) t++2 4 b) lim f(t) h) f (2) y = f(t) c) lim f (t) ) lim f(t) t+4- -2 d) f(0) j) lim f (t) e) lim f (t) k) lim f(t) 2 4 t+4 f) lim f (t) D) lim f (t) + lim 2f(t) 1+-1 t-3 Q3. Given the piecewise function g(x) 1 - (x + 2)2, xs-2 9(x) = Ix + 11. -2