1. (9;4,2,3) Let f(x) = 4x3 + 5x 7 2. (3) Let f(x) = x 5x2,for x 2 1 a. Show that f (x) is one-to-one. Find f_1(x). Be aware with the domain and range. b. Find f'1(2). Do by guessing! . d _1 e. F1nd EU (x)]x=2 Yes, I need you to know what that notation means. 3. (25:6,6,7,6) Find the limit: a. lim x - In(x2 + 1)]. X-+00 Hint: x = In ex 1 b. lim X-0 X ex-1c. lim x x-07 V1-e-3x2 d. lim x In x+1\\ X-+00 x- Hint: Vx2 = x for x > 04. (22:5,6,5,6) Find the derivative: x-1 a. y = 10g3 x+1 b. y = 5sec-1 Vxc. y = tan-1 x-1\\ x+1 d. y = (x3 - 2x)Inx\fc. S V3 - 2x - x2 dx d. S sec'x dx\f