MATH 1505 Study Guide - Midterm Guide: Even And Odd Functions, Unit Circle, Asymptote

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1505
• Professor: William Pietro

Document Summary

Instructions: please write your name, student number and nal answers in ink, this is a closed-book test, duration 50 minutes, non-programmable, non-graphing calculators are permitted. Nected devices or other aids are permitted: there are six questions on seven pages. Your work must justify the answer you give. However, your test grade will be counted out of 50. 60: (4 + 4 pts) (a) determine whether the function f (x) = 1 + x satis es the conditions of the mean-value. If so, nd the value of c that satis es the conclusion of the mean-value theorem. 1 f (x) is continuous on [0; 1]; di erentiable on (0; 1) and f. So, by the mean-value theorem there must exist c (0; 1); such that (1 + x)2 : d dx (x) = Hence, we have (b) determine whether the function g(x) = sin( ) satis es the conditions of rolle"s (c + 1)2 = 1.