help pls

1. (6 pts) Simplify the following: a. log(4x -64)-log(x -4) b. In(A" + B" ) + In(A+ B) 2. (8 pts) Suppose that 2 = logu and 5 = log v. Find possible formulas for the following expressions in terms of u and/or v. Your answers should not involve logs. a. loguv c. log Juv d. 10b b. log 2 log 3. (6 pts) Verify the identities: a) sin x(cot x + tan x) = sec x b) cosex csc x-csc x = - sin x x - 2 4. For the function y = - x2 - 2x -8 a. Find the domain. (2 points) b . Find the y-intercept. (1 point) C. Find the x-intercept(s). (2 points) d. Find the vertical asymptote(s). (1 points) e. Describe the behavior near the vertical asymptote(s). (4 points) f. Find the horizontal asymptote, if there is one otherwise find the slant asymptote (2 points) g. Use your results from part (a) - (f) to sketch the graph of the function (3 points)