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Calculus Stewart 7th Edition Test Bank

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  • ISBN-10 ‏ : ‎ 0538497815
  • ISBN-13 ‏ : ‎ 978-0538497817
  • Author:  James Stewart

Success in your calculus course starts here! James Stewart’s Calculus texts are worldwide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With Calculus (Seventh Edition), Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of contents:

    • QP.1 Definition and Representations of Functions (15)
    • QP.2 Working with Representations of Functions (16)
    • QP.3 Function Notation (15)
    • QP.4 Domain and Range of a Function (14)
    • QP.5 Solving Linear Equations (16)
    • QP.6 Linear Functions (17)
    • QP.7 Parabolas (15)
    • QP.8 Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function (14)
    • QP.9 Polynomials (19)
    • QP.10 More about Factoring Polynomials (14)
    • QP.11 Finding Roots (16)
    • QP.12 Dividing Polynomials (16)
    • QP.13 Rational Functions (21)
    • QP.14 Root Functions (17)
    • QP.15 Rationalizing the Numerator or Denominator (13)
    • QP.16 Exponential Functions (15)
    • QP.17 Logarithmic Functions (17)
    • QP.18 Trigonometric Functions and the Unit Circle (17)
    • QP.19 Graphs of Trigonometric Functions (17)
    • QP.20 Trigonometric Identities (20)
    • QP.21 Special Functions (14)
    • QP.22 Algebraic Combinations of Functions (16)
    • QP.23 Composition of Functions (15)
    • QP.24 Transformations of Functions (14)
    • QP.25 Inverse Functions (19)
  • Chapter 1: Functions and Models
    • 1.1 Four Ways to Represent a Function (78)
    • 1.2 Mathematical Models: A Catalog of Essential Functions (37)
    • 1.3 New Functions from Old Functions (71)
    • 1.4 Graphing Calculators and Computers (34)
    • 1.5 Exponential Functions (43)
    • 1.6 Inverse Functions and Logarithms (87)
    • 1 Chapter Review
    • 1 Principles of Problem Solving (2)
    • True -False
    • True -False (13)
  • Chapter 2: Limits and Derivatives
    • 2.1 The Tangent and Velocity Problems (23)
    • 2.2 The Limit of a Function (54)
    • 2.3 Calculating Limits Using the Limit Laws (66)
    • 2.4 The Precise Definition of a Limit (33)
    • 2.5 Continuity (49)
    • 2.6 Limits at Infinity: Horizontal Asymptotes (68)
    • 2.7 Derivatives and Rates of Change (67)
    • 2.8 The Derivative as a Function (62)
    • 2 Chapter Review
    • 2 Problems Plus (3)
    • True -False
    • True -False (20)
  • Chapter 3: Differentiation Rules
    • 3.1 Derivatives of Polynomials and Exponential Functions (89)
    • 3.2 The Product and Quotient Rules (72)
    • 3.3 Derivatives of Trigonometric Functions (67)
    • 3.4 The Chain Rule (96)
    • 3.5 Implicit Differentiation (78)
    • 3.6 Derivatives of Logarithmic Functions (78)
    • 3.7 Rates of Change in the Natural and Social Sciences (46)
    • 3.8 Exponential Growth and Decay (37)
    • 3.9 Related Rates (65)
    • 3.10 Linear Approximation and Differentials (53)
    • 3.11 Hyperbolic Functions (58)
    • 3 Chapter Review
    • 3 Problems Plus (2)
    • True -False
    • True -False (12)
  • Chapter 4: Applications of Differentiation
    • 4.1 Maximum and Minimum Values (89)
    • 4.2 The Mean Value Theorem (34)
    • 4.3 How Derivatives Affect the Shape of a Graph (82)
    • 4.4 Indeterminate Forms and L’Hospital’s Rule (91)
    • 4.5 Summary of Curve Sketching (67)
    • 4.6 Graphing with Calculus and Calculators (34)
    • 4.7 Optimization Problems (86)
    • 4.8 Newton’s Method (57)
    • 4.9 Antiderivatives (87)
    • 4 Chapter Review
    • 4 Problems Plus (2)
    • True -False
    • True -False (20)
  • Chapter 5: Integrals
    • 5.1 Areas and Distances (45)
    • 5.2 The Definite Integral (89)
    • 5.3 The Fundamental Theorem of Calculus (96)
    • 5.4 Indefinite Integrals and the Net Change Theorem (81)
    • 5.5 The Substitution Rule (108)
    • 5 Chapter Review
    • 5 Problems Plus (2)
    • True -False
    • True -False (15)
  • Chapter 6: Applications of Integration
    • 6.1 Areas between Curves (67)
    • 6.2 Volumes (81)
    • 6.3 Volumes by Cylindrical Shells (61)
    • 6.4 Work (44)
    • 6.5 Average Value of a Function (39)
    • 6 Chapter Review
    • 6 Problems Plus (2)
    • True -False
    • True -False
  • Chapter 7: Techniques of Integration
    • 7.1 Integration by Parts (92)
    • 7.2 Trigonometric Integrals (89)
    • 7.3 Trigonometric Substitution (58)
    • 7.4 Integration of Rational Functions by Partial Fractions (78)
    • 7.5 Strategy for Integration (89)
    • 7.6 Integration Using Tables and Computer Algebra Systems (63)
    • 7.7 Approximate Integration (65)
    • 7.8 Improper Integrals (100)
    • 7 Chapter Review
    • 7 Problems Plus (2)
    • True -False
    • True -False (14)
  • Chapter 8: Further Applications of Integration
    • 8.1 Arc Length (51)
    • 8.2 Area of a Surface of Revolution (42)
    • 8.3 Applications to Physics and Engineering (58)
    • 8.4 Applications to Economics and Biology (30)
    • 8.5 Probability (34)
    • 8 Chapter Review
    • 8 Problems Plus (2)
    • True -False
    • True -False
  • Chapter 9: Differential Equations
    • 9.1 Modeling with Differential Equations (28)
    • 9.2 Direction Fields and Euler’s Method (45)
    • 9.3 Separable Equations (63)
    • 9.4 Models for Population Growth (35)
    • 9.5 Linear Equations (47)
    • 9.6 Predator-Prey Systems (23)
    • 9 Chapter Review
    • 9 Problems Plus (2)
    • True -False
    • True -False (7)
  • Chapter 10: Parametric Equations and Polar Coordinates
    • 10.1 Curves Defined by Parametric Equations (54)
    • 10.2 Calculus with Parametric Curves (73)
    • 10.3 Polar Coordinates (80)
    • 10.4 Areas and Lengths in Polar Coordinates (60)
    • 10.5 Conic Sections (64)
    • 10.6 Conic Sections in Polar Coordinates (34)
    • 10 Chapter Review
    • 10 Problems Plus (2)
    • True -False
    • True -False (10)
  • Chapter 11: Infinite Sequences and Series
    • 11.1 Sequences (86)
    • 11.2 Series (93)
    • 11.3 The Integral Test and Estimates of Sums (49)
    • 11.4 The Comparison Tests (51)
    • 11.5 Alternating Series (43)
    • 11.6 Absolute Convergence and the Ratio and Root Tests (48)
    • 11.7 Strategy for Testing Series (45)
    • 11.8 Power Series (54)
    • 11.9 Representations of Functions as Power Series (46)
    • 11.10 Taylor and MacLaurin Series (78)
    • 11.11 Applications of Taylor Polynomials (46)
    • 11 Chapter Review
    • 11 Problems Plus (2)
    • True -False
    • True -False (20)
  • Chapter 12: Vectors and the Geometry of Space
    • 12.1 Three-Dimensional Coordinate Systems (50)
    • 12.2 Vectors (53)
    • 12.3 The Dot Product (64)
    • 12.4 The Cross Product (59)
    • 12.5 Equations of Lines and Planes (75)
    • 12.6 Cylinders and Quadric Surfaces (62)
    • 12 Chapter Review
    • 12 Problems Plus (2)
    • True -False
    • True -False (18)
  • Chapter 13: Vector Functions
    • 13.1 Vector Functions and Space Curves (47)
    • 13.2 Derivatives and Integrals of Vector Functions (59)
    • 13.3 Arc Length and Curvature (63)
    • 13.4 Motion in Space: Velocity and Acceleration (47)
    • 13 Chapter Review
    • 13 Problems Plus (2)
    • True -False
    • True -False (12)
  • Chapter 14: Partial Derivatives
    • 14.1 Functions of Several Variables (77)
    • 14.2 Limits and Continuity (51)
    • 14.3 Partial Derivatives (91)
    • 14.4 Tangent Planes and Differentials (49)
    • 14.5 The Chain Rule (65)
    • 14.6 Directional Derivatives and the Gradient Vector (64)
    • 14.7 Maximum and Minimum Values (64)
    • 14.8 Lagrange Multipliers (54)
    • 14 Chapter Review
    • 14 Problems Plus (2)
    • True -False
    • True -False (12)
  • Chapter 15: Multiple Integrals
    • 15.1 Double Integrals over Rectangles (25)
    • 15.2 Iterated Integrals (52)
    • 15.3 Double Integrals over General Regions (73)
    • 15.4 Double Integrals in Polar Coordinates (49)
    • 15.5 Applications of Double Integrals (46)
    • 15.6 Surface Area (20)
    • 15.7 Triple Integrals (62)
    • 15.8 Triple Integrals in Cylindrical Coordinates (41)
    • 15.9 Triple Integrals in Spherical Coordinates (59)
    • 15.10 Change of Variables in Multiple Integrals (36)
    • 15 Chapter Review
    • 15 Problems Plus (2)
    • True -False
    • True -False (8)
  • Chapter 16: Vector Calculus
    • 16.1 Vector Fields (41)
    • 16.2 Line Integrals (57)
    • 16.3 The Fndamental Theorem for Line Integrals (44)
    • 16.4 Green’s Theorem (39)
    • 16.5 Curl and Divergence (55)
    • 16.6 Parametric Surfaces and Their Areas (74)
    • 16.7 Surface Integrals (57)
    • 16.8 Stokes’ Theorem (28)
    • 16.9 The Divergence Theorem (39)
    • 16.10 Summary
    • 16 Chapter Review
    • 16 Problems Plus (2)
    • True -False
    • True -False (8)
  • Chapter 17: Second-Order Differential Equations
    • 17.1 Second-Order Linear Equations (47)
    • 17.2 Nonhomogeneous Linear Equations (40)
    • 17.3 Applications of Second-Order Differential Equations (26)
    • 17.4 Series Solutions (20)
    • 17 Chapter Review
    • True -False
    • True -False (4)
  • Chapter A: Appendix
    • A.A Numbers, Inequalities, and Absolute Values (71)
    • A.B Coordinate Geometry and Lines (61)
    • A.C Graphs of Second-Degree Equations (40)
    • A.D Trigonometry (82)
    • A.E Sigma Notation (49)
    • A.F Proofs of Theorems
    • A.G The Logarithm Defines as an Integral (10)
    • A.H Complex Numbers (49)
    • A.I Answers to Odd-Numbered Exercises

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