MTH 161 Midterm: MTH 161 University of Rochester Midterm1Spring2016

• School: University of Rochester
• Department: Mathematics
• Course: MTH 161
• Professor: All

Document Summary

With my signature, i a rm that i will not give or receive any unauthorized help on this exam, and that all work will be my own. 100: (15 points) (a) let f (x) = sin(3x) and g(x) = x. Compute (f g)( ) and (g f )( ). (b) let f (x) = 52x 3. Find a formula for f 1(x). (c) solve 22x. 2+1 = 8: (15 points) (a) find all solutions to the inequality |4x 6| 14. Write an equation for the tangent line to y = f (x) at the point where x = 2: (20 points) compute the following limits. If the limit does not exist, write dne. be sure to distinguish between limits that are or instead of dne. you may only use methods discussed in this class so far. (a) lim x 3 . 4x2 + 5x 2x: (10 points) find all vertical and horizontal asymptotes of f (x) =