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BRIEF CALCULUS: AN APPLIED APPROACH, 8e, motivates students while fostering understanding and mastery. This brief book emphasizes integrated and engaging applications that show users the real-world relevance of topics and concepts. Several pedagogical features—from algebra review to study tips—provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help users learn the basics of WebAssign quickly.
Table of Contents
|A Precalculus Review|
|The Real Number Line and Order|
|Absolute Value and Distance on the Real Number Line|
|Exponents and Radicals|
|Fractions and Rationalization|
|Functions, Graphs, and Limits|
|The Cartesian Plane and the Distance Formula|
|Graphs of Equations|
|Lines in the Plane and Slope|
|The Derivative and the Slope of a Graph|
|Some Rules for Differentiation|
|Rates of Change: Velocity and Marginals|
|The Product and Quotient Rules|
|The Chain Rule|
|Applications of the Derivative|
|Increasing and Decreasing Functions|
|Extrema and the First-Derivative Test|
|Concavity and the Second-Derivative|
|Business and Economics Applications|
|Curve Sketching: A Summary|
|Differentials and Marginal Analysis|
|Exponential and Logarithmic Functions|
|Natural Exponential Functions|
|Derivatives of Exponential Functions|
|Derivatives of Logarithmic Functions|
|Exponential Growth and Decay|
|Integration and Its Applications|
|Antiderivatives and Indefinite Integrals|
|The General Power Rule and Substitution|
|Exponential and Logarithmic Integrals|
|Area and the Fundamental Theorem of Calculus|
|The Area of a Region Bounded by Two Graphs|
|The Definite Integral as the Limit of a Sum|
|Techniques of Integration|
|Integration by Parts and Present Value|
|Partial Fractions and Logistic Growth|
|Functions of Several Variables|
|The Three-Dimensional Coordinate System|
|Surfaces in Space|
|Functions of Several Variables|
|Extrema of Functions of Two Variables|
|Least Squares Regression Analysis|
|Double Integrals and Area in the Plane|
|Applications of Double Integrals|
|Alternate Introduction to the Fundamental Theorem of Calculus|
|Differentiation and Integration Formulas|
|Formulas from Business and Finance|
|Solutions of Differential Equations|
|Separation of Variables|
|First-Order Linear Differential Equations|
|Applications of Differential Equations|
|Properties and Measurement (web only)|
|Review of Algebra, Geometry, and Trigonometry|
|Units of Measurements|
|Graphing Utility Programs (web only)|
|Graphing Utility Programs|
|Table of Contents provided by Publisher. All Rights Reserved.|