OWL : CALCULUS 10C X Assignment 1 templat X Assignment 1.pdf X = 2.3 The Limit Laws - (X X Mathway | Chemistry |X Course Hero * *Homework Help - Q& X + C owl.uwo.ca/access/lessonbuilder/item/185055334/group/8b32b197-4de7-4c69-87f0-15903bc33516/Homework%20Assignments/Assignm... Update : E Assignment 1.pdf 1 / 1 100% + (1) (4 marks) Find the domain of the function f(x) = In(cos-1(x + 2)). 2) (4 marks) Find an exponential function f (x) = b* + a that passes through the points (1, 4) and (2, 10) . (3) (9 marks) Evaluate (a) tan 1 (tan _3x (b) sin (2 tan -1 (0.1) ) (c) cos sin -1 (- + cos ' ()) (4) (12 marks) Find the given limits: Vex + 43 (a) lim x-too 4* + 2(3x ) (b) lim vacesin(7/x) x-0+ (c) lim 2 2+ 2x - 3 x- -3 x+ 3 (d) lim tan-1 (x3 - (5) (6 marks) Find horizontal and vertical asymptotes of the given functions: (a) f(x) = e27 + 3e* + 1 e2x - 1 (b) g(2) = Vac4 + 2 (6) (5 marks) Use the Intermediate Value Theorem to show that the equation 25 -2x3-x-1 = 0 has at least two real roots. (7) (5 marks) Find the values of A and B such that the given function is continuous everywhere. Aer + x x20 f(x) = 3 22 - Bcos (72) +1 -3