Math 142 Winter 2014 Homework Assignments

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Section Topic Required Exercises
5.5Indefinite Integrals and the Subsitution Method 26,31,35,36,40,42,43,44,46,47
Read the following documents:
5.6Substitution and Area Between Curves 11,12,19,28,33,41,43,46,52,53,55,58,59,66
6.1Volumes using Cross sections 20,22,36,44,45,46,47abcd,48ab,52,57
6.2Volumes using cylindrical shells 6,8,18,21,23-26(set up and check integrand only), 29,34-36 (set up and check integrand only)
6.3Arc Length 1,2,5,7,13,14,16,20
6.4Areas of Surfaces of Revolution 1a,2a,3a,4a,13,14,15,18,19,26,28
6.5 Part IWork and Fluid Forces 16,19,20,21,22,29
6.5 Part IIWork and Fluid Forces 2,3,4,6,7,9
7.1Inverse Functions and Their Derivatives 11,13,14,17,19,29,32,38,41,42,43,51,52,54
7.2 Part INatural Logarithms 1,2,3b,4b,5,9,12,18,22,23,27,32,34,69,70
7.2 Part IINatural Logarithms 38,40,44,46,62,65,66,67
7.3 Part IExponential Functions 4,8,12,15,30,32,40,43,49,58,60,62,67,70,73
7.3 Part IIExponential Functions 84,89,90,92,94,98,106,107,11,114,118,119,120,123,133a,138,142a
7.5Indeterminate Forms and L'Hopital's Rule 10,12,17,26,29,32,38,40,41,46,56,57,60,62,64,68,72,75
7.6 Part IInverse Trigonometric Functions 2,6,16,18,26,30,34,38
7.6 Part IIInverse Trigonometric Functions 44,46,48,51,66,67,70,74,80,95
8.1Integration by Parts 2,20,24,25,29,33,38,44,45,46,56,58,62,66
8.2 Part ITrigonometric Integrals 6,8,12,14,22
8.2 Part IITrigonometric Integrals 24,31,40,41,46,47,52,54,68,72
More 8.2Page 490 37,38
8.3Trigonometric Substitutions 2,4,7,10,12,19,22,26,32,36,38
8.4 Part IIntegration of Rational Functions by Partial Fractions 11,14,16
8.4 Part IIIntegration of Rational Functions by Partial Fractions 17,21,27,28,29,34,37,38,39,40,42
8.6Numerical Integration 5,8,10,14,18,22 (Trapezoid only)
8.7Improper Integrals 2,4,10,14,20,24,26,35,43,44,47,50
7.4Exponential Change and Separable Differential Equations 23,28,29,32,35,36
6.6Moments and Center of Mass