Calculus: Early Transcendentals 4th edition

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Dennis G. Zill and Warren S. Wright
Publisher: Jones and Bartlett Learning

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  • 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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Group Quantity Questions
Chapter 1: Functions
1.R 38 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.035 C.036 C.037 C.038
Chapter 2: Limit of a Functions
2.R 24 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024
Chapter 3: The Derivative
3.R 57 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.035 C.036 C.037 C.038 C.039 C.040 C.041 C.042 C.043 C.044 C.045 C.046 C.047 C.048 C.049 C.050 C.051 C.052 C.053 C.054 C.055 C.056 C.057
Chapter 4: Applications of the Derivative
4.R 48 C.001 C.002 C.003 C.004 C.005 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.036 C.037 C.038 C.039 C.040 C.041 C.042 C.043 C.044 C.045 C.046 C.047 C.048 C.049 C.050
Chapter 5: Integrals
5.R 33 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033
Chapter 6: Applications of the Integral
6.R 37 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.035 C.036 C.037
Chapter 7: Techniques of Integration
7.R 102 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.035 C.036 C.037 C.038 C.039 C.040 C.041 C.042 C.043 C.044 C.045 C.046 C.047 C.048 C.049 C.050 C.051 C.052 C.053 C.054 C.055 C.056 C.057 C.058 C.059 C.060 C.061 C.062 C.063 C.064 C.065 C.066 C.067 C.068 C.069 C.070 C.071 C.072 C.073 C.074 C.075 C.076 C.077 C.078 C.079 C.080 C.081 C.082 C.083 C.084 C.085 C.086 C.087 C.088 C.089 C.090 C.091 C.092 C.093 C.094 C.095 C.096 C.097 C.098 C.099 C.100 C.101 C.102
Chapter 8: First-Order Differential Equations
8.R 33 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034
Chapter 9: Sequences and Series
9.R 30 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030
Chapter 10: Conics and Polar Coordinates
10.R 30 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030
Chapter 11: Vectors and 3-Space
11.R 29 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.027 C.028 C.029 C.030
Chapter 12: Vector-Valued Functions
12.R 14 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.009 C.010 C.011 C.012 C.013 C.014 C.015
Chapter 13: Partial Derivatives
13.R 42 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032 C.033 C.034 C.035 C.036 C.037 C.038 C.039 C.040 C.041 C.042
Chapter 14: Multiple Integrals
14.R 32 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030 C.031 C.032
Chapter 15: Vector Integral Calculus
15.R 30 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025 C.026 C.027 C.028 C.029 C.030
Chapter 16: Higher-Order Differential Equations
16.R 25 C.001 C.002 C.003 C.004 C.005 C.006 C.007 C.008 C.009 C.010 C.011 C.012 C.013 C.014 C.015 C.016 C.017 C.018 C.019 C.020 C.021 C.022 C.023 C.024 C.025
Total 604