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test bank for Calculus 3rd edition by William L. Briggs test bank for Calculus 3rd edition by William L. Briggs test bank for Calculus 3rd edition by William L. Briggs Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Trigonometric Functions Review Exercises Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits Review Exercises Derivatives 3.1 Introducing the Derivative 3.2 The Derivative as a Function 3.3 Rules of Differentiation 3.4 The Product and Quotient Rules 3.5 Derivatives of Trigonometric Functions 3.6 Derivatives as Rates of Change 3.7 The Chain Rule 3.8 Implicit Differentiation 3.9 Related Rates Review Exercises Applications of the Derivative 4.1 Maxima and Minima 4.2 Mean Value Theorem 4.3 What Derivatives Tell Us 4.4 Graphing Functions 4.5 Optimization Problems 4.6 Linear Approximation and Differentials 4.7 L'Hôpital's Rule 4.8 Newton's Method 4.9 Antiderivatives Review Exercises Integration 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Review Exercises Applications of Integration 6.1 Velocity and Net Change 6.2 Regions Between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Surface Area 6.7 Physical Applications Review Exercises Logarithmic and Exponential Functions 7.1 Inverse Functions 7.2 The Natural Logarithmic and Exponential Functions 7.3 Logarithmic and Exponential Functions with Other Bases 7.4 Exponential Models 7.5 Inverse Trigonometric Functions 7.6 L' Hôpital's Rule and Growth Rates of Functions 7.7 Hyperbolic Functions Review Exercises Integration Techniques 8.1 Basic Approaches 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitutions 8.5 Partial Fractions 8.6 Integration Strategies 8.7 Other Methods of Integration 8.8 Numerical Integration 8.9 Improper Integrals Review Exercises Differential Equations 9.1 Basic Ideas 9.2 Direction Fields and Euler's Method 9.3 Separable Differential Equations 9.4 Special First-Order Linear Differential Equations 9.5 Modeling with Differential Equations Review Exercises Sequences and Infinite Series 10.1 An Overview 10.2 Sequences 10.3 Infinite Series 10.4 The Divergence and Integral Tests 10.5 Comparison Tests 10.6 Alternating Series 10.7 The Ratio and Root Tests 10.8 Choosing a Convergence Test Review Exercises Power Series 11.1 Approximating Functions with Polynomials 11.2 Properties of Power Series 11.3 Taylor Series 11.4 Working with Taylor Series Review Exercises Parametric and Polar Curves 12.1 Parametric Equations 12.2 Polar Coordinates 12.3 Calculus in Polar Coordinates 12.4 Conic Sections Review Exercises Vectors and the Geometry of Space 13.1 Vectors in the Plane 13.2 Vectors in Three Dimensions 13.3 Dot Products 13.4 Cross Products 13.5 Lines and Planes in Space 13.6 Cylinders and Quadric Surfaces Review Exercises Vector-Valued Functions 14.1 Vector-Valued Functions 14.2 Calculus of Vector-Valued Functions 14.3 Motion in Space 14.4 Length of Curves 14.5 Curvature and Normal Vectors Review Exercises Functions of Several Variables 15.1 Graphs and Level Curves 15.2 Limits and Continuity 15.3 Partial Derivatives 15.4 The Chain Rule 15.5 Directional Derivatives and the Gradient 15.6 Tangent Planes and Linear Approximation 15.7 Maximum/Minimum Problems 15.8 Lagrange Multipliers Review Exercises Multiple Integration 16.1 Double Integrals over Rectangular Regions 16.2 Double Integrals over General Regions 16.3 Double Integrals in Polar Coordinates 16.4 Triple Integrals 16.5 Triple Integrals in Cylindrical and Spherical Coordinates 16.6 Integrals for Mass Calculations 16.7 Change of Variables in Multiple Integrals Review Exercises Vector Calculus 17.1 Vector Fields 17.2 Line Integrals 17.3 Conservative Vector Fields 17.4 Green's Theorem 17.5 Divergence and Curl 17.6 Surface Integrals 17.7 Stokes' Theorem 17.8 Divergence Theorem Review Exercises D2 Second-Order Differential Equations ONLINE D2.1 Basic Ideas D2.2 Linear Homogeneous Equations D2.3 Linear Nonhomogeneous Equations D2.4 Applications D2.5 Complex Forcing Functions Review Exercises APPENDICES A. Proofs of Selected Theorems B. Algebra Review ONLINE C. Complex Numbers ONLINE Answers Index Table of Integrals download via https://r.24zhen.com/hDx9N
