Calculus Of A Single Variable, 9th Edition Calculus Of A Single Variable, 9th Edition

ISBN: 9781111785444 / 1111785449

Textbook solutions

FREE

Expert verified

4,412

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

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 AB/BC Test Prep Questions p.AP1-2

Chapter 2

Differentiation

 AB/BC Test Prep Questions p.AP2-1 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 Product 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

 AB/BC Test Prep Questions p.AP3-2 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

 AB/BC Test Prep Questions p.AP4-2 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.293 4.5 Integration by Substitution Exercises p.306 4.6 Numerical Integration Exercises p.316 Review Exercises p.318 Problem Solving p.321

Chapter 5

Logarithmic, Exponential, And Other Transcendental Functions

 AB/BC Test Prep Questions p.AP5-1 5.1 The Natural Logarithmic Function: Differentiation Exercises p.331 5.2 The Natural Logarithmic Function: Integration Exercises p.340 5.3 Inverse Functions Exercises p.349 5.4 Exponential Functions: Differentiation and Integration Exercises p.358 5.5 Bases Other Than "e" and Applications Exercises p.368 5.6 Inverse Trigonometric Functions: Differentiation Exercises p.379 5.7 Inverse Trigonometric Functions: Integration Exercises p.387 5.8 Hyperbolic Functions Exercises p.398 Review Exercises p.401 Problem Solving p.403

Chapter 6

Differential Equations

 AB/BC Test Prep Questions p.AP6-1 6.1 Slope Fields and Euler's Method Exercises p.411 6.2 Differential Equations: Growth and Decay Exercises p.420 6.3 Separation of Variables and the Logistic Equation Exercises p.431 6.4 First-Order Linear Differential Equations Exercises p.440 Review Exercises p.443 Problem Solving p.445

Chapter 7

Applications Of Integration

 AB/BC Test Prep Questions p.AP7-1 7.1 Area of a Region Between Two Curves Exercises p.454 7.2 Volume: The Disk Method Exercises p.465 7.3 Volume: The Shell Method Exercises p.474 7.4 Arc Length and Surfaces of Revolution Exercises p.485 7.5 Work Exercises p.495 7.6 Moments, Centers of Mass, and Centroids Exercises p.506 7.7 Fluid Pressure and Fluid Force Exercises p.513 Review Exercises p.515 Problem Solving p.517

Chapter 8

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

 AB/BC Test Prep Questions p.AP8-1 8.1 Basic Integration Rules Exercises p.524 8.2 Integration by Parts Exercises p.533 8.3 Trigonometric Integrals Exercises p.542 8.4 Trigonometric Substitution Exercises p.551 8.5 Partial Fractions Exercises p.561 8.6 Integration by Tables and Other Integration Techniques Exercises p.567 8.7 Indeterminate Forms and L'Hôpital's Rule Exercises p.576 8.8 Improper Integrals Exercises p.587 Review Exercises p.591 Problem Solving p.593

Chapter 9

Infinite Series

 AB/BC Test Prep Questions p.AP9-1 9.1 Sequences Exercises p.604 9.2 Series and Convergence Exercises p.614 9.3 The Integral Test and p-Series Exercises p.622 9.4 Comparisons of Series Exercises p.630 9.5 Alternating Series Exercises p.638 9.6 The Ratio and Root Tests Exercises p.647 9.7 Taylor Polynomials and Approximations Exercises p.658 9.8 Power Series Exercises p.668 9.9 Representation of Functions by Power Series Exercises p.676 9.10 Taylor and Maclaurin Series Exercises p.687 Review Exercises p.690 Problem Solving p.693

Chapter 10

Conics, Parametric Equations, And Polar Coordinates

 AB/BC Test Prep Questions p.AP10-1 10.1 Conics and Calculus Exercises p.706 10.2 Plane Curves and Parametric Equations Exercises p.718 10.3 Parametric Equations and Calculus Exercises p.727 10.4 Polar Coordinates and Polar Graphs Exercises p.738 10.5 Area and Arc Length in Polar Coordinates Exercises p.747 10.6 Polar Equations of Conics and Kepler's Laws Exercises p.755 Review Exercises p.758 Problem Solving p.761

Chapter 11

Vectors And The Geometry Of Space

 AB/BC Test Prep Questions p.AP11-1 11.1 Vectors in the Plane Exercises p.771 11.2 Space Coordinates and Vectors in Space Exercises p.780 11.3 The Dot Product of Two Vectors Exercises p.789 11.4 The Cross Product of Two Vectors in Space Exercises p.798 11.5 Lines and Planes in Space Exercises p.807 11.6 Surfaces in Space Exercises p.820 11.7 Cylindrical And Spherical Coordinates Exercises p.827 Review Exercises p.829 Problem Solving p.831
Can you find your fundamental truth using Slader as a Calculus Of A Single Variable solutions manual?

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