 # Calculus, 10th Edition Calculus, 10th Edition

ISBN: 9781285057095 / 1285057090

Textbook solutions

FREE

Expert verified

5,933 ### 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.55 1.3 Evaluating Limits Analytically Exercises p.67 1.4 Continuity and One-Sided Limits Exercises p.79 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.114 2.3 Product and Quotient Rules and Higher-Order Derivatives Exercises p.125 2.4 The Chain Rule Exercises p.136 2.5 Implicit Differentiation Exercises p.145 2.6 Related Rates Exercises p.153 Review Exercises p.157 Problem Solving p.159

### Chapter 3

Applications Of Differentiation

 3.1 Extrema on an Interval Exercises p.167 3.2 Rolle's Theorem and the Mean Value Theorem Exercises p.174 3.3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.183 3.4 Concavity and the Second Derivative Test Exercises p.192 3.5 Limits at Infinity Exercises p.202 3.6 A Summary of Curve Sketching Exercises p.212 3.7 Optimization Problems Exercises p.220 3.8 Newton's Method Exercises p.229 3.9 Differentials Exercises p.236 Review Exercises p.238 Problem Solving p.241

### Chapter 4

Integration

 4.1 Antiderivatives and Indefinite Integrals Exercises p.251 4.2 Area Exercises p.263 4.3 Riemann Sums and Definite Integrals Exercises p.273 4.4 The Fundamental Theorem of Calculus Exercises p.288 4.5 Integration by Substitution Exercises p.301 4.6 Numerical Integration Exercises p.310 Review Exercises p.312 Problem Solving p.315

### Chapter 5

Logarithmic, Exponential, And Other Transcendental Functions

 5.1 The Natural Logarithmic Function: Differentiation Exercises p.325 5.2 The Natural Logarithmic Function: Integration Exercises p.334 5.3 Inverse Functions Exercises p.343 5.4 Exponential Functions: Differentiation and Integration Exercises p.352 5.5 Bases Other than e and Applications Exercises p.362 5.6 Inverse Trigonometric Functions: Differentiation Exercises p.372 5.7 Inverse Trigonometric Functions: Integration Exercises p.380 5.8 Hyperbolic Functions Exercises p.390 Review Exercises p.393 Problem Solving p.395

### Chapter 6

Differential Equations

 6.1 Slope Fields and Euler's Method Exercises p.403 6.2 Differential Equations: Growth and Decay Exercises p.412 6.3 Separation of Variables and the Logistic Equation Exercises p.421 6.4 First-Order Linear Differential Equations Exercises p.428 Review Exercises p.431 Problem Solving p.433

### Chapter 7

Applications Of Integration

 7.1 Area of a Region Between Two Curves Exercises p.442 7.2 Volume: The Disk Method Exercises p.453 7.3 Volume: The Shell Method Exercises p.462 7.4 Arc Length and Surfaces of Revolution Exercises p.473 7.5 Work Exercises p.483 7.6 Moments, Centers of Mass, and Centroids Exercises p.494 7.7 Fluid Pressure and Fluid Force Exercises p.501 Review Exercises p.503 Problem Solving p.505

### Chapter 8

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

 8.1 Basic Integration Rules Exercises p.512 8.2 Integration by Parts Exercises p.521 8.3 Trigonometric Integrals Exercises p.530 8.4 Trigonometric Substitution Exercises p.539 8.5 Partial Fractions Exercises p.549 8.6 Integration by Tables and Other Integration Techniques Exercises p.555 8.7 Indeterminate Forms and L'Hopital's Rule Exercises p.564 8.8 Improper Integrals Exercises p.575 Review Exercises p.579 Problem Solving p.581

### Chapter 9

Infinite Series

 9.1 Sequences Exercises p.592 9.2 Series and Convergence Exercises p.601 9.3 The Integral Test and p-Series Exercises p.609 9.4 Comparisons of Series Exercises p.616 9.5 Alternating Series Exercises p.625 9.6 The Ratio and Root Tests Exercises p.633 9.7 Taylor Polynomials and Approximations Exercises p.644 9.8 Power Series Exercises p.654 9.9 Representation of Functions by Power Series Exercises p.662 9.10 Taylor and Maclaurin Series Exercises p.673 Review Exercises p.676 Problem Solving p.679

### Chapter 10

Conics, Parametric Equations, And Polar Coordinates

 10.1 Conics and Calculus Exercises p.692 10.2 Plane Curves and Parametric Equations Exercises p.703 10.3 Parametric Equations and Calculus Exercises p.711 10.4 Polar Coordinates and Polar Graphs Exercises p.722 10.5 Area and Arc Length in Polar Coordinates Exercises p.731 10.6 Polar Equations of Conics and Kepler's Laws Exercises p.739 Review Exercises p.742 Problem Solving p.745

### Chapter 11

Vectors And The Geometry Of Space

 11.1 Vectors in the Plane Exercises p.755 11.2 Space Coordinates and Vectors in Space Exercises p.763 11.3 The Dot Product of Two Vectors Exercises p.773 11.4 The Cross Product of Two Vectors in Space Exercises p.781 11.5 Lines and Planes in Space Exercises p.790 11.6 Surface in Space Exercises p.802 11.7 Cylindrical and Spherical Coordiantes Exercises p.809 Review Exercises p.811 Problem Solving p.813

### Chapter 12

Vector-Valued Functions

 12.1 Vector-Valued Functions Exercises p.821 12.2 Differentiation and Integration of Vector-Valued Functions Exercises p.830 12.3 Velocity and Acceleration Exercises p.838 12.4 Tangent Vectors and Normal Vectors Exercises p.848 12.5 Arc Length and Curvature Exercises p.860 Review Exercises p.863 Problem Solving p.865

### Chapter 13

Functions Of Several Variables

 13.1 Introduction to Functions of Several Variables Exercises p.876 13.2 Limits and Continuity Exercises p.887 13.3 Partial Derivatives Exercises p.896 13.4 Differentials Exercises p.905 13.5 Chain Rules for Functions of Several Variables Exercises p.913 13.6 Directional Derivatives and Gradients Exercises p.924 13.7 Tangent Planes and Normal Lines Exercises p.933 13.8 Extrema of Functions of Two Variables Exercises p.942 13.9 Applications of Extrema Exercises p.949 13.10 Lagrange Multipliers Exercises p.958 Review Exercises p.960 Problem Solving p.963

### Chapter 14

Multiple Integration

 14.1 Iterated Integrals and Area in the Plane Exercises p.972 14.2 Double Integrals and Volume Exercises p.983 14.3 Change of Variables: Polar Coordinates Exercises p.991 14.4 Center of Mass and Moments of Inertia Exercises p.1000 14.5 Surface Area Exercises p.1007 14.6 Triple Integrals and Applications Exercises p.1017 14.7 Triple Integrals in Other Coordinates Exercises p.1025 14.8 Change of Variables: Jacobians Exercises p.1032 Review Exercises p.1034 Problem Solving p.1037

### Chapter 15

Vector Analysis

 15.8 Stoke's Theorem Exercises p.119 15.1 Vector Fields Exercises p.1049 15.2 Line Integrals Exercises p.1061 15.3 Conservative Vector Fields and Independence of Path Exercises p.1072 15.4 Green's Theorem Exercises p.1081 15.5 Parametric Surfaces Exercises p.1091 15.6 Surface Integrals Exercises p.1104 15.7 Divergence Theorem Exercises p.1112 Review Exercises p.1120 Problem Solving p.1123
##### Can you find your fundamental truth using Slader as a Calculus solutions manual?

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