Solution Manual for Calculus Early Transcendentals 4th by Rogawski

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Product details:

• ISBN-10 ‏ : ‎ 1319050743
• ISBN-13 ‏ : ‎ 978-1319050740
• Author: J. Rogawski

The author’s goal for the book is that it’s clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus experience. They paid special attention to certain aspects of the text:

1. Clear, accessible exposition that anticipates and addresses student difficulties.
2. Layout and figures that communicate the flow of ideas.
3. Highlighted features that emphasize concepts and mathematical reasoning including Conceptual Insight, Graphical Insight, Assumptions Matter, Reminder, and Historical Perspective.
4. A rich collection of examples and exercises of graduated difficulty that teach basic skills as well as problem-solving techniques, reinforce conceptual understanding, and motivate calculus through interesting applications. Each section also contains exercises that develop additional insights and challenge students to further develop their skills.

Table of contents:

• Chapter 1: Functions
  • 1.1: Functions and Graphs
  • 1.2: Combining Functions
  • 1.3: Polynomial and Rational Functions
  • 1.4: Transcendental Functions
  • 1.5: Inverse Functions
  • 1.6: Exponential and Logarithmic Functions
  • 1.7: From Words to Functions
  • 1.R: Review Questions (38)
• Chapter 2: Limit of a Functions
  • 2.1: Limits – An Informal Approach
  • 2.2: Limit Theorems
  • 2.3: Continuity
  • 2.4: Trigonometric Limits
  • 2.5: Limits that Involve Infinity
  • 2.6: Limits – A Formal Approach
  • 2.7: The Tangent Line Problem
  • 2.R: Review Questions (24)
• Chapter 3: The Derivative
  • 3.1: The Derivative
  • 3.2: Power and Sum Rules
  • 3.3: Product and Quotient Rules
  • 3.4: Trigonometric Functions
  • 3.5: Chain Rule
  • 3.6: Implicit Differentiation
  • 3.7: Derivatives of Inverse Functions
  • 3.8: Exponential Functions
  • 3.9: Logarithmic Functions
  • 3.10: Hyperbolic Functions
  • 3.R: Review Questions (57)
• Chapter 4: Applications of the Derivative
  • 4.1: Rectilinear Motion
  • 4.2: Related Rates
  • 4.3: Extrema of Function
  • 4.4: Mean Value Theorem
  • 4.5: Limits Revisited – L’Hopital’s Rule
  • 4.6: Graphing and the First Derivative
  • 4.7: Graphing and the Second Derivative
  • 4.8: Optimization
  • 4.9: Linearization and Differentials
  • 4.10: Newton’s Method
  • 4.R: Review Questions (48)
• Chapter 5: Integrals
  • 5.1: The Indefinite Integral
  • 5.2: Integration by the u-Substitution
  • 5.3: The Area Problem
  • 5.4: The Definite Integral
  • 5.5: Fundamental Theorem of Calculus
  • 5.R: Review Questions (33)
• Chapter 6: Applications of the Integral
  • 6.1: Rectilinear Motion Revisited
  • 6.2: Area Revisited
  • 6.3: Volumes of Solids: Slicing Method
  • 6.4: Volumes of Solids: Shell Method
  • 6.5: Length of a Graph
  • 6.6: Area of a Surface of Revolution
  • 6.7: Average Value of a Function
  • 6.8: Work
  • 6.9: Fluid Pressure and Force
  • 6.10: Centers of Mass and Centroids
  • 6.R: Review Questions (37)
• Chapter 7: Techniques of Integration
  • 7.1: Integration – Three Resources
  • 7.2: Integration by Substitution
  • 7.3: Integration by Parts
  • 7.4: Powers of Trigonometric Functions
  • 7.5: Trigonometric Substitutions
  • 7.6: Partial Fractions
  • 7.7: Improper Integrals
  • 7.8: Approximate Integration
  • 7.R: Review Questions (102)
• Chapter 8: First-Order Differential Equations
  • 8.1: Separable Equations
  • 8.2: Linear Equations
  • 8.3: Mathematical Models
  • 8.4: Solution Curves without a Solution
  • 8.5: Euler’s Method
  • 8.R: Review Questions (33)
• Chapter 9: Sequences and Series
  • 9.1: Sequences
  • 9.2: Monotonic Sequences
  • 9.3: Series
  • 9.4: Integral Test
  • 9.5: Comparison Tests
  • 9.6: Ratio and Root Tests
  • 9.7: Alternating Series
  • 9.8: Power Series
  • 9.9: Representing Functions by Power Series
  • 9.10: Taylor Series
  • 9.11: Binomial Series
  • 9.R: Review Questions (30)
• Chapter 10: Conics and Polar Coordinates
  • 10.1: Conic Sections
  • 10.2: Parametric Equations
  • 10.3: Calculus and Parametric Equations
  • 10.4: Polar Coordinate System
  • 10.5: Graphs of Polar Equations
  • 10.6: Calculus in Polar Coordinates
  • 10.7: Conic Sections in Polar Coordinates
  • 10.R: Review Questions (30)
• Chapter 11: Vectors and 3-Space
  • 11.1: Vectors in 2-Space
  • 11.2: 3-Space and Vectors
  • 11.3: Dot Product
  • 11.4: Cross Product
  • 11.5: Lines in 3-Space
  • 11.6: Planes
  • 11.7: Cylinders and Spheres
  • 11.8: Quadric Surfaces
  • 11.R: Review Questions (29)
• Chapter 12: Vector-Valued Functions
  • 12.1: Vector Functions
  • 12.2: Calculus of Vector Functions
  • 12.3: Motion on a Curve
  • 12.4: Curvature and Acceleration
  • 12.R: Review Questions (14)
• Chapter 13: Partial Derivatives
  • 13.1: Functions of Several Variables
  • 13.2: Limits and Continuity
  • 13.3: Partial Derivatives
  • 13.4: Linearization and Differentials
  • 13.5: Chain Rule
  • 13.6: Directional Derivative
  • 13.7: Tangent Planes and Normal Lines
  • 13.8: Extrema of Multivariable Functions
  • 13.9: Method of Least Squares
  • 13.10: Lagrange Multipliers
  • 13.R: Review Questions (42)
• Chapter 14: Multiple Integrals
  • 14.1: The Double Integral
  • 14.2: Iterated Integrals
  • 14.3: Evaluation of Double Integrals
  • 14.4: Center of Mass and Moments
  • 14.5: Double Integrals in Polar Coordinates
  • 14.6: Surface Area
  • 14.7: The Triple Integral
  • 14.8: Triple Integrals in Other Coordinate Systems
  • 14.9: Change of Variables in Multiple Integrals
  • 14.R: Review Questions (32)
• Chapter 15: Vector Integral Calculus
  • 15.1: Line Integrals
  • 15.2: Line Integrals of Vector Fields
  • 15.3: Independence of the Path
  • 15.4: Green’s Theorem
  • 15.5: Parametric Surfaces and Area
  • 15.6: Surface Integrals
  • 15.7: Curl and Divergence
  • 15.8: Stokes’ Theorem
  • 15.9: Divergence Theorem
  • 15.R: Review Questions (30)
• Chapter 16: Higher-Order Differential Equations
  • 16.1: Exact First-Order Equations
  • 16.2: Homogeneous Linear Equations
  • 16.3: Nonhomogeneous Linear Equations
  • 16.4: Mathematical Models
  • 16.5: Power Series Solutions
  • 16.R: Review Questions (25)

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