MATH 100 Study Guide - Midterm Guide: Umber, Alate, Gien

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: All

Document Summary

Be sure that this examination has 12 pages including this cover. Di erential calculus with applications to physical sciences and engineering. Simplify your answers as much as possible, and show your work. Each question is worth 3 marks, but not all questions are of equal di culty. Full marks will be given for a correct, simpli ed answer placed in the answer box. [9] 1. (a) evaluate the following limit: lim x 1 x2 + 3x + 2 x2 x 2. Answer (b) evaluate the following limit, or determine that it does not exist: lim x 1 . Answer (c) find the second derivative of f (x) = esin 2x. [9] 2. (a) calculate the derivative of g(s) = tan 1(ln s). Note: arctan is an alternate notation for tan 1. Answer (b) find a function f (x) that satis es f (x) = x2 + ex and f (0) = 0.