MAT 295 Study Guide - Midterm Guide: Riemann Sum, Paper Cup

• School: Syracuse University
• Department: Mathematics
• Course: MAT 295
• Professor: All

Document Summary

This examination has 12 problems and 11 pages (including this one). Make sure your examination is complete before you begin work. The point values are indicated for each of the problems. The use of or availability of any electronic device, notes or books during this exam is a violation of the academic integrity policy. _______% (1) [18 pts] evaluate each of the following limits. Write dne if the limit does not exist. 5 x (a) lim x 5 (b) lim x 9. Do not simplify your answers. (a) y = tan 3 + sec 3 (b) y = arctan(e5 x ) (c) g(x) = ln(x) 1 x 2 (4) [6 pts] find y " in terms of g "(x) . (a) y = g(x) Water is being poured into the cup at the rate of 3 cm 3 / sec . How fast is the water level rising when the water is 6 cm deep.