MAT186H1 Study Guide - Midterm Guide: University Of Manchester, Asymptote
Document Summary
Solutions to mat 186h1s term test of thursday, march 6, 2008. Only aids permitted: casio 260, sharp 520, or texas instrument 30 calculator. The value for each question is indicated in parantheses beside the question number. The marks ranged from 13% to 88%, and the average was only 53. 8%. Here is a histogram of the test marks, out of 60. Find the exact values of the (a) [2 marks] cos x. = sin x cos( /3) + cos x sin( /3) Solution: cos(2x) = 1 2 sin2 x (cid:18) 4 (cid:19) 9: [8 marks] find the following limits. (a) [3 marks] lim x 2. Solution: x3 8 x 2 x3 8 x 2 lim x 2 (b) [3 marks] lim x 1. Solution: lim x 1 x + 3 2 x 1 x + 3 2 x 1 (x 2)(x2 + 2x + 4) x 2 (x2 + 2x + 4)
