MATH115 Study Guide - Final Guide: Hyperbolic Function, Compound Interest, Improper Integral

• School: University of Alberta
• Department: Mathematics
• Course: MATH115
• Professor: All

Document Summary

Exam room: education gymnasium rows 15, 17, 19. Instructions: please write your name on the rst page as required, write your name and student. Id on all pages: there are six (13) questions worth a total of 100 points, no aids allowed. Any of your own paper is not allowed. In most cases, answers with no supporting work will not receive full credit. Your score: (1) lim x 0 (4) lim x 0 ex2 1. 0 (et 1)dt x4 (2) lim x + ln(ln x) x , (3) lim x 0 (5x + x)1 x , (5) lim x 0 (cos x) Tan 1 x) dx sinh(x2) and d2 dx2 cosh(x): hyperbolic functions. (1) show that: sinh 2x = 2 sinh x cosh x; (2) find the following derivatives d (2) (5) (6, evaluate the following integrals. 5+2 ln x x(1+ln x)2dx, ex dx x2+x 2,