## Test bank for Calculus of a Single Variable Early Transcendental Functions 6th Edition by Ron Larson , Bruce H. Edwards

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### Product Description

CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, Sixth Edition, offers students innovative learning resources. Every edition from the first to the sixth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

*Test bank for Calculus of a Single Variable Early Transcendental Functions 6th Edition by Ron Larson*

### Table of content

**Chapter 1: Preparation for Calculus**

1.1: Graphs and Models

1.2: Linear Models and Rates of Change

1.3: Functions and Their Graphs

1.4: Fitting Models to Data

1.5: Inverse Functions

1.6: Exponential and Logarithmic Functions

1: Review Exercises

1: Problem Solving

**Chapter 2: Limits and Their Properties**

2.1: A Preview of Calculus

2.2: Finding Limits Graphically and Numerically

2.3: Evaluating Limits Analytically

2.4: Continuity and One-Sided Limits

2.5: Infinite Limits

2: Review Exercises

2: Problem Solving

**Chapter 3: Differentiation**

3.1: The Derivative and the Tangent Line Problem

3.2: Basic Differentiation Rules and Rates of Change

3.3: Product and Quotient Rules and Higher-Order Derivatives

3.4: The Chain Rule

3.5: Implicit Differentiation

3.6: Derivatives of Inverse Functions

3.7: Related Rates

3.8: Newton's Method

3: Review Exercises

3: Problem Solving

**Chapter 4: Applications of Differentiation**

4.1: Extrema on an Interval

4.2: Rolle's Theorem and the Mean Value Theorem

4.3: Increasing and Decreasing Functions and the First Derivative Test

4.4: Concavity and the Second Derivative Test

4.5: Limits at Infinity

4.6: A Summary of Curve Sketching

4.7: Optimization Problems

4.8: Differentials

4: Review Exercises

4: Problem Solving

**Chapter 5: Integration**

5.1: Antiderivatives and Indefinite Integration

5.2: Area

5.3: Riemann Sums and Definite Integrals

5.4: The Fundamental Theorem of Calculus

5.5: Integration by Substitution

5.6: Numerical Integration

5.7: The Natural Logarithmic Function: Integration

5.8: Inverse Trigonometric Functions: Integration

5.9: Hyperbolic Functions

5: Review Exercises

5: Problem Solving

**Chapter 6: Differential Equations**

6.1: Slope Fields and Euler's Method

6.2: Differential Equations: Growth and Decay

6.3: Differential Equations: Separation of Variables

6.4: The Logistic Equation

6.5: First-Order Linear Differential Equations

6.6: Predator-Prey Differential Equations

6: Review Exercises

6: Problem Solving

**Chapter 7: Applications of Integration**

7.1: Area of a Region Between Two Curves

7.2: Volume: The Disk Method

7.3: Volume: The Shell Method

7.4: Arc Length and Surfaces of Revolution

7.5: Work

7.6: Moments, Centers of Mass, and Centroids

7.7: Fluid Pressure and Fluid Force

7: Review Exercises

7: Problem Solving

**Chapter 8: Integration Techniques, L'Hôpital's Rule, and Improper Integrals**

8.1: Basic Integration Rules

8.2: Integration by Parts

8.3: Trigonometric Integrals

8.4: Trigonometric Substitution

8.5: Partial Fractions

8.6: Integration by Tables and Other Integration Techniques

8.7: Indeterminate Forms and L'Hôpital's Rule

8.8: Improper Integrals

8: Review Exercises

8: Problem Solving

**Chapter 9: Infinite Series**

9.1: Sequences

9.2: Series and Convergence

9.3: The Integral Test and p-Series

9.4: Comparisons of Series

9.5: Alternating Series

9.6: The Ratio and Root Tests

9.7: Taylor Polynomials and Approximations

9.8: Power Series

9.9: Representation of Functions by Power Series

9.10: Taylor and Maclaurin Series

9: Review Exercises

9: Problem Solving

**Chapter 10: Conics, Parametric Equations, and Polar Coordinates**

10.1: Conics and Calculus

10.2: Plane Curves and Parametric Equations

10.3: Parametric Equations and Calculus

10.4: Polar Coordinates and Polar Graphs

10.5: Area and Arc Length in Polar Coordinates

10.6: Polar Equations of Conics and Kepler's Laws

10: Review Exercises

10: Problem Solving

**Chapter 11: Vectors and the Geometry of Space**

11.1: Vectors in the Plane

11.2: Space Coordinates and Vectors in Space

11.3: The Dot Product of Two Vectors

11.4: The Cross Product of Two Vectors in Space

11.5: Lines and Planes in Space

11.6: Surfaces in Space

11.7: Cylindrical and Spherical Coordinates

11: Review Exercises

11: Problem Solving

**Chapter 12: Vector-Valued Functions**

12.1: Vector-Valued Functions

12.2: Differentiation and Integration of Vector-Valued Functions

12.3: Velocity and Acceleration

12.4: Tangent Vectors and Normal Vectors

12.5: Arc Length and Curvature

12: Review Exercises

12: Problem Solving

**Chapter 13: Functions of Several Variables**

13.1: Introduction to Functions of Several Variables

13.2: Limits and Continuity

13.3: Partial Derivatives

13.4: Differentials

13.5: Chain Rules for Functions of Several Variables

13.6: Directional Derivatives and Gradients

13.7: Tangent Planes and Normal Lines

13.8: Extrema of Functions of Two Variables

13.9: Applications of Extrema

13.10: Lagrange Multipliers

13: Review Exercises

13: Problem Solving

**Chapter 14: Multiple Integration**

14.1: Iterated Integrals and Area in the Plane

14.2: Double Integrals and Volume

14.3: Change of Variables: Polar Coordinates

14.4: Center of Mass and Moments of Inertia

14.5: Surface Area

14.6: Triple Integrals and Applications

14.7: Triple Integrals in Other Coordinates

14.8: Change of Variables: Jacobians

14: Review Exercises

14: Problem Solving

**Chapter 15: Vector Analysis**

15.1: Vector Fields

15.2: Line Integrals

15.3: Conservative Vector Fields and Independence of Path

15.4: Green's Theorem

15.5: Parametric Surfaces

15.6: Surface Integrals

15.7: Divergence Theorem

15.8: Stokes's Theorem

15: Review Exercises

15: Problem Solving

**Chapter 16: Additional Topics in Differential Equations (online only)**

16.1: Exact First-Order Equations

16.2: Second-Order Homogeneous Linear Equations

16.3: Second-Order Nonhomogeneous Linear Equations

16.4: Series Solutions of Differential Equations

### Product details

Language: English

ISBN-10: **1285774795**

ISBN-13: **978-1285774794**

ISBN-13: **9781285774794**

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