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 Review Exercises P.S. 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 Review Exercises P.S. 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 Review Exercises P.S. 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 Review Exercises P.S. 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 Review Exercises P.S. 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 Review Exercises P.S.
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 Review Exercises P.S. Table of contents : Front Cover Title Page Copyright Page CONTENTS Preface Your Course.
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