MATH 100 Midterm: MATH 100+180 2012 Winter Test 1

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

Document Summary

Be sure that this examination has 13 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. [9] 1. (a) find a function f (x) that satis es f (x) = 2 cos x ex and f (0) = 0. Answer (b) use a linear approximation to estimate (2. 001)4. Write your answer in the form n/1000, where n is an integer. If y = (sin x)sin x, nd y . Answer (b) find the slope of the tangent line to the curve y + x cos y = cos x at the point (0, 1). Answer (d) let f (x) = g(2 sin x), where g ( 2) = 2.