Practice ProblemsPaul Dawkins
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Chapter 1 / Exercise 3
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Tan
Expert Verified
Calculus II – Practice Problemsi© 2018 Paul DawkinsTable of ContentsPreface.................................................................................................................................................................iiiOutline..................................................................................................................................................................ivChapter 1 : Integration Techniques........................................................................................................................1Section 1-1 : Integration by Parts..............................................................................................................................3Section 1-2 : Integrals Involving Trig Functions.........................................................................................................4Section 1-3 : Trig Substitutions..................................................................................................................................5Section 1-4 : Partial Fractions....................................................................................................................................7Section 1-5 : Integrals Involving Roots......................................................................................................................8Section 1-6 : Integrals Involving Quadratics..............................................................................................................9Section 1-7 : Integration Strategy...........................................................................................................................10Section 1-8 : Improper Integrals..............................................................................................................................11Section 1-9 : Comparison Test for Improper Integrals............................................................................................12Section 1-10 : Approximating Definite Integrals.....................................................................................................13Chapter 2 : Applications of Integrals....................................................................................................................14Section 2-1 : Arc Length..........................................................................................................................................15Section 2-2 : Surface Area.......................................................................................................................................16Section 2-3 : Center of Mass...................................................................................................................................17Section 2-4 : Hydrostatic Pressure and Force.........................................................................................................18Section 2-5 : Probability..........................................................................................................................................20Chapter 3 : Parametric Equations and Polar Coordinates.....................................................................................21Section 3-1 : Parametric Equations and Curves......................................................................................................23Section 3-2 : Tangents with Parametric Equations.................................................................................................25Section 3-3 : Area with Parametric Equations.........................................................................................................26Section 3-4 : Arc Length with Parametric Equations...............................................................................................27Section 3-5 : Surface Area with Parametric Equations............................................................................................28Section 3-6 : Polar Coordinates...............................................................................................................................29Section 3-7 : Tangents with Polar Coordinates.......................................................................................................31Section 3-8 : Area with Polar Coordinates..............................................................................................................32Section 3-9 : Arc Length with Polar Coordinates.....................................................................................................33Section 3-10 : Surface Area with Polar Coordinates...............................................................................................34Section 3-11 : Arc Length and Surface Area Revisited............................................................................................35Chapter 4 : Series & Sequences............................................................................................................................36Section 4-1 : Sequences..........................................................................................................................................39Section 4-2 : More on Sequences............................................................................................................................40Section 4-3 : Series - The Basics..............................................................................................................................41Section 4-4 : Convergence/Divergence of Series....................................................................................................42Section 4-5 : Special Series......................................................................................................................................43Section 4-6 : Integral Test........................................................................................................................................44Section 4-7 : Comparison Test/Limit Comparison Test...........................................................................................45Section 4-8 : Alternating Series Test.......................................................................................................................46Section 4-9 : Absolute Convergence.......................................................................................................................47Section 4-10 : Ratio Test..........................................................................................................................................48Section 4-11 : Root Test..........................................................................................................................................49Section 4-12 : Strategy for Series............................................................................................................................50
Calculus II – Practice Problemsii© 2018 Paul DawkinsSection 4-13 : Estimating the Value of a Series.......................................................................................................51Section 4-14 : Power Series.....................................................................................................................................52Section 4-15 : Power Series and Functions.............................................................................................................53Section 4-16 : Taylor Series.....................................................................................................................................54Section 4-17 : Applications of Series.......................................................................................................................55Section 4-18 : Binomial Series.................................................................................................................................56Chapter 5 : Vectors..............................................................................................................................................57Section 5-1 : Vectors - The Basics............................................................................................................................58Section 5-2 : Vector Arithmetic...............................................................................................................................59Section 5-3 : Dot Product........................................................................................................................................60Section 5-4 : Cross Product.....................................................................................................................................61Chapter 6 : 3-Dimensional Space.........................................................................................................................62Section 6-1 : The 3-D Coordinate System................................................................................................................64Section 6-2 : Equations of Lines..............................................................................................................................65Section 6-3 : Equations of Planes............................................................................................................................66Section 6-4 : Quadric Surfaces................................................................................................................................67Section 6-5 : Functions of Several Variables...........................................................................................................68Section 6-6 : Vector Functions................................................................................................................................69Section 6-7 : Calculus with Vector Functions..........................................................................................................70Section 6-8 : Tangent, Normal and Binormal Vectors.............................................................................................71Section 6-9 : Arc Length with Vector Functions......................................................................................................72Section 6-10 : Curvature..........................................................................................................................................73Section 6-11 : Velocity and Acceleration.................................................................................................................74Section 6-12 : Cylindrical Coordinates.....................................................................................................................75Section 6-13 : Spherical Coordinates......................................................................................................................76
Calculus II – Practice Problemsiii© 2018 Paul DawkinsPrefaceHere are a set of practice problems for the Calculus II notes.If you are viewing the pdf version
Upload your study docs or become a
Course Hero member to access this document
Upload your study docs or become a
Course Hero member to access this document
End of preview. Want to read all 86 pages?
Upload your study docs or become a
Course Hero member to access this document
Term
Fall
Professor
RUBIN
Tags
