MATH 126 Study Guide - Midterm Guide: Specific Weight, Proctor
Document Summary
Calculators, notes, books, or consulting others are not allowed. If you have any questions, ask the proctor, but no one else! The backs of the sheets may be used for scratch paper or to continue your work. If you wish to have such work counted, please give directions to the grader. Show your work to obtain full credit: points may be deducted otherwise. 1: (20 pts) find the following limits: (a) limx 1 sin2( x) (x 1)2 (b) limx (cid:16) x + 3 x (cid:17)x+1 (c) limn . 2: (30 pts) evaluate the following integrals: (a) z. 1 x2 1 + x2 dx (b) z e2x sin(ex) dx. 4: (15 pts) consider the region r in the plane bounded by y = x x2 and y = x 1. Let s be the solid obtained by rotating r around the line x = 2. Find an integral which expresses the volume of the solid s. do not evaluate your integral.
