MATH 222 Study Guide - Maxima And Minima, Nappe, Cylindrical Coordinate System

• School: McGill University
• Department: Mathematics & Statistics (Sci)
• Course: MATH 222
• Professor: Christa Scholtz

Document Summary

Page 1 (marks) (6: let f (x) = z x. 0 t cos t dt: (a) nd a power series representation for f (x); (b) use this series to approximate f (x) = z 1/2. 0 t cos t dt correctly to 4 decimal places. (6: find the power series representation for each of the following functions, and state the radius of convergence. (a) f (x) = (b) f (x) = Show all your work. (a) the surface f (x, y) = px2 + 2y2 + 1. (b) the level curve of z = y x2 + y2 corresponding to z = 1. 4 . (c) the surface = csc cot . = 0. (3: let c be the curve formed by the intersection of the level surface x2y + yz + z2 + 1 = 0 and the plane x + y + z = 1. 1z ln(x2 + y2 + 1) dx dy (b) z 4.