MATH 140 Study Guide - Quiz Guide: Mean Value Theorem, Maxima And Minima, Street Light
Document Summary
There are 10 multiple choice questions, 5 true/false questions, and 3 free response questions. To receive full credit for free response questions (problems 12, 13, and 14) all work must be shown. The use of calculators is not permitted in this. There are 14 problems on 10 pages, including this one. The space below is for the instructor"s use. If f ( ) = 2 tan , then f (cid:48)(cid:48)( /4) is: 8, 16, 4, 1, 6. Find the value of c in the conclusion of the mean value theorem for f (x) = x 2 on [2, 6]: 0, 3, 5, 1/2, 5/4, (5 pts. ) Suppose f (3) = 2, and f (cid:48)(3) = 1/4. Estimate f (3. 4) using the linear approximation of f at 3: 2. 1, 4. 1, 1. 4, 2, 2. 4. Determine all vertical and horizontal asymptotes of the function f (x) = There is no absolute maximum value: there is no absolute minimum value.
