MATH 103 Study Guide - Midterm Guide: Density, Antiderivative, Random Variable

• School: UBC
• Department: Mathematics
• Course: MATH 103
• Professor: All

Document Summary

Marks: multiple choice questions: select one correct answer (a, b, c, d, or e) for each question and write it in the table at the bottom of the page. You will not be graded for any work or answers outside those boxes. (q1) the value of the integral z 1. 0 e(x+ex) dx is (a) e(x+ex+1) (x + ex + 1) (b) ee e (c) ee + e (d) ee+1 (e) (1 e)e (q2) an antiderivative of x. 2 ln |4 x2| (q3) an approximation to the integral z 2. Xk=0 (q4) the value of the integral z e arctan(x) dx using n rectangles would be. 1 ln(x) x2 dx is ln(e) e2 ln(1) 1 e2 1 (e) (q5) consider a mass density function d(x) = 4 x2 over the interval 0 x 2. The centre of mass of this mass distribution is at (a) 1 (b) 4 (c)