 # Larson Calculus, 8th Edition Larson Calculus, 8th Edition

ISBN: 9780618502981 / 061850298X

Textbook solutions

FREE

Expert verified

5,539 ### Chapter P

Preparation For Calculus

 P.1 Graphs and Models Exercises p.8 P.2 Linear Models and Rates of Change Exercises p.16 P.3 Functions and Their Graphs Exercises p.27 P.4 Fitting Models to Data Exercises p.34 Review Exercises p.37 Problem Solving p.39

### Chapter 1

Limits And Their Properties

 1.1 A Preview of Calculus Exercises p.47 1.2 Finding Limits Graphically and Numerically Exercises p.54 1.3 Evaluating Limits Analytically Exercises p.67 1.4 Continuity and One-Sided Limits Exercises p.78 1.5 Infinite Limits Exercises p.88 Review Exercises p.91 Problem Solving p.93

### Chapter 2

Differentiation

 2.1 The Derivative and the Tangent Line Problem Exercises p.103 2.2 Basic Differentiation Rules and Rates of Change Exercises p.115 2.3 Produce and Quotient Rules and Higher-Order Derivatives Exercises p.126 2.4 The Chain Rule Exercises p.137 2.5 Implicit Differentiation Exercises p.146 2.6 Related Rates Exercises p.154 Review Exercises p.158 Problem Solving p.161

### Chapter 3

Applications Of Differentiation

 3.1 Extrema on an Interval Exercises p.169 3.2 Rolle's Theorem and the Mean Value Theorem Exercises p.176 3.3 Increasing and Decreasing Functions and the first Derivative Test Exercises p.186 3.4 Concavity and the Second Derivative Test Exercises p.195 3.5 Limits at Infinity Exercises p.205 3.6 A Summary of Curve Sketching Exercises p.215 3.7 Optimization Problems Exercises p.223 3.8 Newton's Method Exercises p.233 3.9 Differentials Exercises p.240 Review Exercises p.242 Problem Solving p.245

### Chapter 4

Integration

 4.1 Antiderivatives and Indefinite Integration Exercises p.255 4.2 Area Exercises p.267 4.3 Riemann Sums and Definite Integrals Exercises p.278 4.4 The Fundamental Theorem of Calculus Exercises p.291 4.5 Integration by Substitution Exercises p.304 4.6 Numerical Integration Exercises p.314 Review Exercises p.316 Problem Solving p.319

### Chapter 5

Logarithmic, Exponential, And Other Transcendental Functions

 5.1 The Natural Logarithmic Function: Differentiation Exercises p.329 5.2 The Natural Logarithmic Function: Integration Exercises p.338 5.3 Inverse Functions Exercises p.347 5.4 Exponential Functions: Differentiation and Integration Exercises p.356 5.5 Bases Other Than e and Applications Exercises p.366 5.6 Inverse Trigonometric Functions: Differentiation Exercises p.377 5.7 Inverse Trigonometric Functions: Integration Exercises p.385 5.8 Hyperbolic Functions Exercises p.396 Review Exercises p.399 Problem Solving p.401

### Chapter 6

Differential Equations

 6.1 Slope Fields and Euler's Method Exercises p.409 6.2 Differential Equations: Growth and Decay Exercises p.418 6.3 Separation of Variables and the Logistic Equation Exercises p.429 6.4 First-Order Linear Differential Equations Exercises p.438 Review Exercises p.441 Problem Solving p.443

### Chapter 7

Applications Of Integration

 7.1 Area of a Region Between Two Curves Exercises p.452 7.2 Volume: The Disk Method Exercises p.463 7.3 Volume: The Shell Method Exercises p.472 7.4 Arc Length and Surfaces of Revolution Exercises p.483 7.5 Work Exercises p.493 7.6 Moments, Centers of Mass, and Centoids Exercises p.504 7.7 Fluid Pressure and Fluid Force Exercises p.511 Review Exercises p.513 Problem Solving p.515

### Chapter 8

Integration Techniques, L'Hopital's Rule, And Improper Integrals

 8.1 Basic Integration Rules Exercises p.522 8.2 Integration by Parts Exercises p.531 8.3 Trigonometric Integrals Exercises p.540 8.4 Trigonometric Substitution Exercises p.549 8.5 Partial Fractions Exercises p.559 8.6 Integration by Tables and Other Integration Techniques Exercises p.565 8.7 Indeterminate Forms and L'Hopital's Rule Exercises p.574 8.8 Improper Integrals Exercises p.585 Review Exercises p.589 Problem Solving p.591

### Chapter 9

Infinite Series

 9.1 Sequences Exercises p.602 9.2 Series and Convergence Exercises p.612 9.3 The Integral Test and p-Series Exercises p.620 9.4 Comparisons of Series Exercises p.628 9.5 Alternating Series Exercises p.636 9.6 The Ratio and Root Tests Exercises p.645 9.7 Taylor Polynomials and Approximations Exercises p.656 9.8 Power Series Exercises p.666 9.9 Representation of Functions by Power Series Exercises p.674 9.10 Taylor and Maclaurin Series Exercises p.685 Review Exercises p.688 Problem Solving p.691

### Chapter 10

Conics, Parametric Equations, And Polar Coordinates

 10.1 Conics and Calculus Exercises p.704 10.2 Plane Curves and Parametric Equations Exercises p.716 10.3 Parametric Equations and Calculus Exercises p.725 10.4 Polar Coordinates and Polar Graphs Exercises p.736 10.5 Area and Arc Length in Polar Coordinates Exercises p.745 10.6 Polar Equations of Conics and Kepler's Laws Exercises p.753 Review Exercises p.756 Problem Solving p.759

### Chapter 11

Vectors And The Geometry Of Space

 11.1 Vectors in the Plane Exercises p.769 11.2 Space Coordinates and Vectors in Space Exercises p.778 11.3 The Dot Product of Two Vectors Exercises p.787 11.4 The Cross Product of Two Vectors in Space Exercises p.796 11.5 Lines and Planes in Space Exercises p.805 11.6 Surfaces in Space Exercises p.818 11.7 Cylindrical and Spherical Coordinates Exercises p.825 Review Exercises p.827 Problem Solving p.829

### Chapter 12

Vector-Valued Functions

 12.1 Vector-Valued Funcions Exercises p.837 12.2 Differentiation and Integration of Vector-Valued Functions Exercises p.846 12.3 Velocity and Acceleration Exercises p.854 12.4 Tangent Vectors and Normal Vectors Exercises p.863 12.5 Arc Length and Curvature Exercises p.875 Review Exercises p.879 Problem Solving p.881

### Chapter 13

Functions Of Several Variables

 13.1 Introduction to Functions of Several Variables Exercises p.892 13.2 Limits and Continuity Exercises p.902 13.3 Partial Derivatives Exercises p.912 13.4 Differentials Exercises p.921 13.5 Chain Rules for Functions of Several Variables Exercises p.929 13.6 Directional Derivatives and Gradients Exercises p.940 13.7 Tangent Planes and Normal Lines Exercises p.949 13.8 Extrema of Functions of Two Variables Exercises p.958 13.9 Applications of Extrema of Functions of Two Variables Exercises p.964 13.10 Lagrange Multipliers Exercises p.974 Review Exercises p.976 Problem Solving p.979

### Chapter 14

Multiple Integration

 14.1 Iterated Integrals and Area in the Plane Exercises p.988 14.2 Double Integrals and Volume Exercises p.997 14.3 Change of Variables: Polar Coordinates Exercises p.1006 14.4 Center of Mass and Moments of Inertia Exercises p.1015 14.5 Surface Area Exercises p.1022 14.6 Triple Integrals and Applications Exercises p.1032 14.7 Triple Integrals in Cylindrical and Spherical Coordinates Exercises p.1040 14.8 Change of Variables: Jacobians Exercises p.1047 Review Exercises p.1048 Problem Solving p.1051

### Chapter 15

Vector Analysis

 15.1 Vector Fields Exercises p.1063 15.2 Line Integrals Exercises p.1075 15.3 Conservative Vector Fields and Independence of Path Exercises p.1086 15.4 Green's Theorem Exercises p.1095 15.5 Parametric Surfaces Exercises p.1105 15.6 Surface Integrals Exercises p.1118 15.7 Divergence THeorem Exercises p.1126 15.8 Stoke's Theorem Exercises p.1133 Review Exercises p.1134 Problem Solving p.1137
##### Can you find your fundamental truth using Slader as a Larson Calculus solutions manual?

YES! Now is the time to redefine your true self using Slader’s Larson Calculus answers. Shed the societal and cultural narratives holding you back and let step-by-step Larson Calculus textbook solutions reorient your old paradigms. NOW is the time to make today the first day of the rest of your life. Unlock your Larson Calculus PDF (Profound Dynamic Fulfillment) today. YOU are the protagonist of your own life. Let Slader cultivate you that you are meant to be! 