MATH 1004 Quiz: MATH 1004 Quiz 4 2014 Winter Spring

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: All

Document Summary

This test has two parts, the rst part has 3 multiple choice questions (each one 4 marks) and the second part has 4 long answer questions (each one 6 marks), [6 bonus marks! 2(e2 1: 2e2. dx , 2, 1, 0. 1: 3 x 1 (cid:90) x2 et t. Part 2: long answer questions, each one 6 marks. 1: what is xex2 dx ? (cid:90) 2. Using integration by parts method by taking u = x2 and dv = exdx, we have du = 2xdx, v = ex then (cid:90) B = x2ex 2 (cid:90) xexdx using one more time integration by parts we have b1 = xex ex. xexdx. Sub. in. , the answer is b = x2ex 2xex + 2ex + c. [2 marks] x(x 1)(x 2) using plug-in method or comparing coe cient method we have x = 0 : x = 1 : x = 2 : 6 ( 1)( 2) = a = a = 2.