MATH114 Study Guide - Final Guide: Maxima And Minima

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: All

Document Summary

Instructions: this is a closed book exam. 100 (b) (d) (2, 5) ( , 2) (5, + ) (b) an equation of the tangent line to the curve y = (b) y = 4x 2 x4 + 3 at the point ( 1, 2) is: Name: (20 points) circle your answer (cid:113) 5 x x 2 is: (a) the domain of f (x) = (a) (2, + ) (c) (2, 5] Answer: c (a) y = x + 1 (c) y = 1. Answer: c (d) x + y = 3 lim x 0. 3 (d) 1 (d) let f be a continuous function on [a, b]. Which of the following statements is false: (a) (b) (c) (d) f always has an absolute maximum on [a, b]. f always has an absolute minimum on [a, b]. If f(cid:48)(c) = 0 for some c in (a, b), then f has a local extremum at c.