MAT186H1 Study Guide - Final Guide: University Of Toronto Faculty Of Applied Science And Engineering, Asymptote
Document Summary
First year - che, civ, ind, lme, mec, mms. + c, sec 1 y = 1/ cos 1 y, Breakdown of results: 472 students wrote the exam. Some statistics on grade distributions are in the table on the left, and a histogram of the marks (by decade) is on the right. 0-9% 0. 4: [20 marks] find the following: (a) [5 marks] 1 + x2 + tan x + dx = = tan 1 x ln| cos x| + ln|x| + c tan 1 x + ln| sec x| + ln|x| + c or (cid:19)x (cid:18) 1 3 x (b) [5 marks] lim x . Solution: the limit is in the 1 form. Let the limit be l. (cid:19) (cid:18) (cid:0) 3 x2. 1 3 x (cid:1) ln(cid:0)1 3 (cid:1) x. L = e 3 (c) [5 marks] the linear approximation of 791/4, without using your calculator. Solution: let f (x) = x1/4; a = 81.
