MATH 125g Study Guide - Midterm Guide: Farad

• School: USC
• Department: Mathematics
• Course: MATH 125g
• Professor: Guillaume Dreyer

Document Summary

Practice final exam (this was the nal exam for math 125 in the fall 2001 semester) Instructions: try all the problems and show all your work. Answers given with no indica- tion of how they were obtained may receive no credit. If you need more space, write on the back of another page and clearly mark on your problem that it is continued elsewhere. Problem 1. (45 points) find the limits: lim x 4 x2 5x + 4 x 4. 2x 5 sin 3x x + sin 4x b. lim x : lim x 0. Problem 2. (15 points) find a constant c for which the following function f is continuous on ( , ). f (x) =(2x2 + cx x2 2x c if x 1 if x < 1. Problem 3. (30 points) find dy/dx if: y , y = ln(sec x + tan x). Problem 4. (60 points) consider the function f (x) = 3x5 5x3.