MTH 161 Final: MTH 161 University of Rochester FinalFall2017

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

Document Summary

Please read the following instructions very carefully: only pens and pencils are allowed. The presence of notes, calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden: this exam has 15 problems and 24 pages. Check that your exam is complete when you start: show your work. Part a: (20 points) (a) if f (x) = x + 1. , nd a formula for f 1(x). (b) solve ln x + ln(x 1) = ln 6. 2 (c) find the exact value of tan(cid:0)sin 1(cid:0) 1. 9 (cid:1)(cid:1). (d) solve |x| + |2x 1| 7. 3: (16 points) compute the derivative (with respect to x) of each of the following func- tions. (a) x3 cos(x3) 5: (16 points) evaluate the following limits. (a) lim x 1+ x2 9 x2 + 2x 3. X6 + 1 (2x + 1)3 (b) lim x .