MATH 262 Study Guide - Final Guide: Maxima And Minima

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Please answer all questions in the exam. booklet provided. This exam. is comprised of the cover page and 2 pages of questions. 1. (a) (8 marks) determine the values of x for which the series converge absolutely, converge conditionally or diverge: n (2 x. 1 n x (b) (12 marks) if c(x) = dt. 410 : (a) (4 marks) show that the function t x = 0 (ii) find c(0. 2) with error. 0 (i) find the first three terms for c(x) about e sinx y satisfies the equation. 2 f y x (b) (4 marks) if f x y. 2 y x find: (10 marks) a particle p, moves along the curve defined by r t. 2 t j k (a) find the tangent and normal component of acceleration (scalar values) (b) find the length of the curve from t = 0 to t = 1.