Calculus of a Single Variable Early Transcendental Functions 6th Edition Larson Test Bank

Calculus of a Single Variable Early Transcendental Functions 6th Edition Larson Test Bank

Product details:

• ISBN-10 ‏ : ‎ 1285774795
• ISBN-13 ‏ : ‎ 978-1285774794
• Author: Dr Ron Larson

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.

Table contents:

• Chapter 1: Preparation for Calculus
  • 1.1: Graphs and Models (57)
  • 1.2: Linear Models and Rates of Change (64)
  • 1.3: Functions and Their Graphs (65)
  • 1.4: Fitting Models to Data (21)
  • 1.5: Inverse Functions (59)
  • 1.6: Exponential and Logarithmic Functions (61)
  • 1: Review Exercises
  • 1: Problem Solving
• Chapter 2: Limits and Their Properties
  • 2.1: A Preview of Calculus (22)
  • 2.2: Finding Limits Graphically and Numerically (58)
  • 2.3: Evaluating Limits Analytically (65)
  • 2.4: Continuity and One-Sided Limits (61)
  • 2.5: Infinite Limits (54)
  • 2: Review Exercises
  • 2: Problem Solving
• Chapter 3: Differentiation
  • 3.1: The Derivative and the Tangent Line Problem (54)
  • 3.2: Basic Differentiation Rules and Rates of Change (71)
  • 3.3: Product and Quotient Rules and Higher-Order Derivatives (81)
  • 3.4: The Chain Rule (103)
  • 3.5: Implicit Differentiation (63)
  • 3.6: Derivatives of Inverse Functions (49)
  • 3.7: Related Rates (50)
  • 3.8: Newton’s Method (48)
  • 3: Review Exercises
  • 3: Problem Solving
• Chapter 4: Applications of Differentiation
  • 4.1: Extrema on an Interval (55)
  • 4.2: Rolle’s Theorem and the Mean Value Theorem (55)
  • 4.3: Increasing and Decreasing Functions and the First Derivative Test (70)
  • 4.4: Concavity and the Second Derivative Test (59)
  • 4.5: Limits at Infinity (68)
  • 4.6: A Summary of Curve Sketching (53)
  • 4.7: Optimization Problems (58)
  • 4.8: Differentials (44)
  • 4: Review Exercises
  • 4: Problem Solving
• Chapter 5: Integration
  • 5.1: Antiderivatives and Indefinite Integration (69)
  • 5.2: Area (64)
  • 5.3: Riemann Sums and Definite Integrals (64)
  • 5.4: The Fundamental Theorem of Calculus (99)
  • 5.5: Integration by Substitution (73)
  • 5.6: Numerical Integration (57)
  • 5.7: The Natural Logarithmic Function: Integration (85)
  • 5.8: Inverse Trigonometric Functions: Integration (76)
  • 5.9: Hyperbolic Functions (77)
  • 5: Review Exercises
  • 5: Problem Solving
• Chapter 6: Differential Equations
  • 6.1: Slope Fields and Euler’s Method (69)
  • 6.2: Differential Equations: Growth and Decay (66)
  • 6.3: Differential Equations: Separation of Variables (84)
  • 6.4: The Logistic Equation (37)
  • 6.5: First-Order Linear Differential Equations (70)
  • 6.6: Predator-Prey Differential Equations (20)
  • 6: Review Exercises
  • 6: Problem Solving
• Chapter 7: Applications of Integration
  • 7.1: Area of a Region Between Two Curves (67)
  • 7.2: Volume: The Disk Method (67)
  • 7.3: Volume: The Shell Method (41)
  • 7.4: Arc Length and Surfaces of Revolution (61)
  • 7.5: Work (36)
  • 7.6: Moments, Centers of Mass, and Centroids (52)
  • 7.7: Fluid Pressure and Fluid Force (22)
  • 7: Review Exercises
  • 7: Problem Solving
• Chapter 8: Integration Techniques, L’Hôpital’s Rule, and Improper Integrals
  • 8.1: Basic Integration Rules (52)
  • 8.2: Integration by Parts (61)
  • 8.3: Trigonometric Integrals (51)
  • 8.4: Trigonometric Substitution (51)
  • 8.5: Partial Fractions (41)
  • 8.6: Integration by Tables and Other Integration Techniques (51)
  • 8.7: Indeterminate Forms and L’Hôpital’s Rule (70)
  • 8.8: Improper Integrals (70)
  • 8: Review Exercises
  • 8: Problem Solving
• Chapter 9: Infinite Series
  • 9.1: Sequences (39)
  • 9.2: Series and Convergence (46)
  • 9.3: The Integral Test and p-Series (33)
  • 9.4: Comparisons of Series (32)
  • 9.5: Alternating Series (36)
  • 9.6: The Ratio and Root Tests (47)
  • 9.7: Taylor Polynomials and Approximations (36)
  • 9.8: Power Series (39)
  • 9.9: Representation of Functions by Power Series (37)
  • 9.10: Taylor and Maclaurin Series (46)
  • 9: Review Exercises
  • 9: Problem Solving
• Chapter 10: Conics, Parametric Equations, and Polar Coordinates
  • 10.1: Conics and Calculus (46)
  • 10.2: Plane Curves and Parametric Equations (43)
  • 10.3: Parametric Equations and Calculus (53)
  • 10.4: Polar Coordinates and Polar Graphs (56)
  • 10.5: Area and Arc Length in Polar Coordinates (54)
  • 10.6: Polar Equations of Conics and Kepler’s Laws (38)
  • 10: Review Exercises
  • 10: Problem Solving
• Chapter 11: Vectors and the Geometry of Space
  • 11.1: Vectors in the Plane (49)
  • 11.2: Space Coordinates and Vectors in Space (59)
  • 11.3: The Dot Product of Two Vectors (44)
  • 11.4: The Cross Product of Two Vectors in Space (40)
  • 11.5: Lines and Planes in Space (59)
  • 11.6: Surfaces in Space (39)
  • 11.7: Cylindrical and Spherical Coordinates (57)
  • 11: Review Exercises
  • 11: Problem Solving
• Chapter 12: Vector-Valued Functions
  • 12.1: Vector-Valued Functions (45)
  • 12.2: Differentiation and Integration of Vector-Valued Functions (46)
  • 12.3: Velocity and Acceleration (42)
  • 12.4: Tangent Vectors and Normal Vectors (49)
  • 12.5: Arc Length and Curvature (49)
  • 12: Review Exercises
  • 12: Problem Solving
• Chapter 13: Functions of Several Variables
  • 13.1: Introduction to Functions of Several Variables (42)
  • 13.2: Limits and Continuity (41)
  • 13.3: Partial Derivatives (63)
  • 13.4: Differentials (41)
  • 13.5: Chain Rules for Functions of Several Variables (37)
  • 13.6: Directional Derivatives and Gradients (45)
  • 13.7: Tangent Planes and Normal Lines (35)
  • 13.8: Extrema of Functions of Two Variables (48)
  • 13.9: Applications of Extrema (44)
  • 13.10: Lagrange Multipliers (44)
  • 13: Review Exercises
  • 13: Problem Solving
• Chapter 14: Multiple Integration
  • 14.1: Iterated Integrals and Area in the Plane (62)
  • 14.2: Double Integrals and Volume (49)
  • 14.3: Change of Variables: Polar Coordinates (46)
  • 14.4: Center of Mass and Moments of Inertia (42)
  • 14.5: Surface Area (34)
  • 14.6: Triple Integrals and Applications (46)
  • 14.7: Triple Integrals in Other Coordinates (42)
  • 14.8: Change of Variables: Jacobians (42)
  • 14: Review Exercises
  • 14: Problem Solving
• Chapter 15: Vector Analysis
  • 15.1: Vector Fields (47)
  • 15.2: Line Integrals (46)
  • 15.3: Conservative Vector Fields and Independence of Path (40)
  • 15.4: Green’s Theorem (40)
  • 15.5: Parametric Surfaces (43)
  • 15.6: Surface Integrals (43)
  • 15.7: Divergence Theorem (29)
  • 15.8: Stokes’s Theorem (32)
  • 15: Review Exercises
  • 15: Problem Solving
• Chapter 16: Additional Topics in Differential Equations (online only)
  • 16.1: Exact First-Order Equations (48)
  • 16.2: Second-Order Homogeneous Linear Equations (45)
  • 16.3: Second-Order Nonhomogeneous Linear Equations (42)
  • 16.4: Series Solutions of Differential Equations (27)
• Chapter A: Appendices
  • A.A: Proofs of Selected Theorems
  • A.B: Integration Tables
  • A.C: Precalculus Review (Web)*
  • A.D: Rotation and the General Second-Degree Equation (Web)*
  • A.E: Complex Numbers (Web)*
  • A.F: Business and Economic Applications (Web)*
• Chapter QP: Quick Prep Topics
  • QP.1: Definition and Representations of Functions (15)
  • QP.2: Working with Representations of Functions (16)
  • QP.3: Function Notation (15)
  • QP.4: Domain and Range of a Function (14)
  • QP.5: Solving Linear Equations (16)
  • QP.6: Linear Functions (17)
  • QP.7: Parabolas (15)
  • QP.8: Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function (14)
  • QP.9: Polynomials (19)
  • QP.10: More about Factoring Polynomials (14)
  • QP.11: Finding Roots (16)
  • QP.12: Dividing Polynomials (16)
  • QP.13: Rational Functions (21)
  • QP.14: Root Functions (17)
  • QP.15: Rationalizing the Numerator or Denominator (13)
  • QP.16: Exponential Functions (15)
  • QP.17: Logarithmic Functions (17)
  • QP.18: Trigonometric Functions and the Unit Circle (17)
  • QP.19: Graphs of Trigonometric Functions (17)
  • QP.20: Trigonometric Identities (20)
  • QP.21: Special Functions (14)
  • QP.22: Algebraic Combinations of Functions (16)
  • QP.23: Composition of Functions (15)
  • QP.24: Transformations of Functions (14)
  • QP.25: Inverse Functions (19)

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