MAT186H1 Study Guide - Final Guide: University Of Toronto Faculty Of Applied Science And Engineering, Analog Science Fiction And Fact, Ellipse
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First year - che, civ, ind, lme, mec, mms. General comments: this exam consisted almost entirely of routine, standard problems. The only exception was the very last question. Two of the asymptotes are straightforward to nd, but the calculation of lim x f (x) is quite messy. You have to use l"hopital"s rule at least twice: in question 9, the most common error was to miss the in ection point at x = 0, question 11 was done very badly! So in question 11 many students simpli ed the equation of the ellipse incorrectly to 3x + 4y = 12. Breakdown of results: 466 students wrote this 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. Page 1 of 10: let f (x) = x2. What is the average value of f on the interval [ 1, 1]? (a) (b) (c) (d)
