- Chapter 1: Limits, Derivatives, Integrals, and Integrals
- Chapter 1-1: The Concept of Instantaneous Rate
- Chapter 1-2: Rate of Change by Equation, Graph, or Table
- Chapter 1-3: One Type of Integral of a Function
- Chapter 1-4: Definite Integrals by Trapezoids, fromEquations and Data
- Chapter 1-5: Calculus Journal
- Chapter 1-6: Chapter Review and Test
- Chapter 1-8: Algebraic Calculus Techniques for the Elementary Functions
- Chapter 10: The Calculus of MotionAverages, Extremes, and Vectors
- Chapter 10-1: Introduction to Distance and Displacement for Motion Along a Line
- Chapter 10-2: Distance, Displacement, and Acceleration for Linear Motion
- Chapter 10-3: Average Value Problems in Motion and Elsewhere
- Chapter 10-4: Minimal Path Problems
- Chapter 10-5: Maximum and Minimum Problems in Motion and Elsewhere
- Chapter 10-6: Vector Functions for Motion in a Plane
- Chapter 10-7: Chapter Review and Test
- Chapter 11: The Calculus of Variable-Factor Products
- Chapter 11-1: Review of WorkForce Times Displacement
- Chapter 11-2: Work Done by a Variable Force
- Chapter 11-3: Mass of a Variable-Density Object
- Chapter 11-4: Moments, Centroids, Center of Mass,and the Theorem of Pappus
- Chapter 11-5: Force Exerted by a Variable PressureCenter of Pressure
- Chapter 11-6: Other Variable-Factor Products
- Chapter 11-7: Chapter Review and Test
- Chapter 12: The Calculus of Functions Defined by Power Series
- Chapter 12-1: Introduction to Power Series
- Chapter 12-10: Cumulative Reviews
- Chapter 12-2: Geometric Sequences and Series as Mathematical Models
- Chapter 12-3: Power Series for an Exponential Function
- Chapter 12-4: Power Series for Other Elementary Functions
- Chapter 12-5: Taylor and Maclaurin Series, and Operations on These Series
- Chapter 12-6: Interval of Convergence for a SeriesThe Ratio Technique
- Chapter 12-7: Convergence of Series at the Ends of the Convergence Interval
- Chapter 12-8: Error Analysis for SeriesThe Lagrange Error Bound
- Chapter 12-9: Chapter Review and Test
- Chapter 2: Properties of Limits
- Chapter 2-1: Numerical Approach to the Definition of Limit
- Chapter 2-2: Graphical and Algebraic Approaches to the Definition of Limit
- Chapter 2-3: The Limit Theorems
- Chapter 2-4: Continuity and Discontinuity
- Chapter 2-5: Limits Involving Infinity
- Chapter 2-6: The Intermediate Value Theorem and Its Consequences
- Chapter 2-7: Chapter Review and Test
- Chapter 4: Products, Quotients, and Parametric Functions
- Chapter 4-1: Combinations of Two Functions
- Chapter 4-10: Chapter Review and Test
- Chapter 4-2: Derivative of a Product of Two Functions
- Chapter 4-3: Derivative of a Quotient of Two Functions
- Chapter 4-4: Derivatives of the Other Trigonometric Functions
- Chapter 4-5: Derivatives of Inverse Trigonometric Functions
- Chapter 4-6: Differentiability and Continuity
- Chapter 4-7: Derivatives of a Parametric Function
- Chapter 4-8: Graphs and Derivatives of Implicit Relations
- Chapter 4-9: Related Rates
- Chapter 5-1: A Definite Integral Problem
- Chapter 5-2: Linear Approximations and Differentials
- Chapter 5-3: Formal Definition of Antiderivative and Indefinite Integral
- Chapter 5-4: Formal Definition of Antiderivative and Indefinite Integral
- Chapter 5-5: The Mean Value Theorem and Rolles Theorem
- Chapter 5-6: The Fundamental Theorem of Calculus
- Chapter 5-7: Definite Integral Properties and Practice
- Chapter 6: The Calculus of Exponential and Logarithmic Functions
- Chapter 6-1: Integral of the Reciprocal Function:A Population Growth Problem
- Chapter 6-2: Antiderivative of the Reciprocal Function and Another Form of the Fundamental Theorem
- Chapter 6-3: The Uniqueness Theorem and Properties of Logarithmic Functions
- Chapter 6-4: The Number e, Exponential Functions,and Logarithmic Differentiation
- Chapter 6-5: Limits of Indeterminate Forms: lHospitals Rule
- Chapter 6-6: Limits of Indeterminate Forms: lHospitals Rule
- Chapter 6-7: Chapter Review and Test
- Chapter 6-8: Cumulative Review: Chapters 16
- Chapter 7-1: Direct Proportion Property of Exponential Functions
- Chapter 7-2: Exponential Growth and Decay
- Chapter 7-3: Other Differential Equations for Real-World Applications
- Chapter 7-4: Graphical Solution of Differential Equations by Using Slope Fields
- Chapter 7-5: Graphical Solution of Differential Equations by Using Slope Fields
- Chapter 7-6: The Logistic Function, and Predator-Prey Population Problems
- Chapter 7-7: Chapter Review and Test
- Chapter 7-8: Cumulative Review: Chapters 17
- Chapter 8-1: Cubic Functions and Their Derivatives
- Chapter 8-2: Critical Points and Points of Inflection
- Chapter 8-3: Maxima and Minima in Plane and Solid Figures
- Chapter 8-4: Volume of a Solid of Revolution by Cylindrical Shells
- Chapter 8-5: Length of a Plane CurveArc Length
- Chapter 8-6: Length of a Plane CurveArc Length
- Chapter 8-7: Lengths and Areas for Polar Coordinates
- Chapter 8-8: Chapter Review and Test
- Chapter 9-1: Introduction to the Integral of a Product of Two Functions
- Chapter 9-10: Improper Integrals
- Chapter 9-11: Miscellaneous Integrals and Derivatives
- Chapter 9-12: Integrals in Journal
- Chapter 9-13: Chapter Review and Test
- Chapter 9-2: Integration by PartsA Way to Integrate Products
- Chapter 9-3: Rapid Repeated Integration by Parts
- Chapter 9-4: Reduction Formulas and Computer Algebra Systems
- Chapter 9-5: Integrating Special Powers of Trigonometric Functions
- Chapter 9-6: Integration by Trigonometric Substitution
- Chapter 9-7: Integration of Rational Functions by Partial Fractions
- Chapter 9-8: Integrals of the Inverse Trigonometric Functions
- Chapter 9-9: Calculus of the Hyperbolic and Inverse Hyperbolic Functions
Calculus: Concepts and Applications 2nd Edition - Solutions by Chapter
Full solutions for Calculus: Concepts and Applications | 2nd Edition
ISBN: 9781559536547
Solutions by Chapter
Since problems from 99 chapters in Calculus: Concepts and Applications have been answered, more than 4425 students have viewed full step-by-step answer. The full step-by-step solution to problem in Calculus: Concepts and Applications were answered by Patricia, our top Calculus solution expert on 01/25/18, 04:36PM. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters: 99. Calculus: Concepts and Applications was written by Patricia and is associated to the ISBN: 9781559536547.
Key Calculus Terms and definitions covered in this textbook
-
Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.
-
Complements or complementary angles
Two angles of positive measure whose sum is 90°
-
Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic
-
Double inequality
A statement that describes a bounded interval, such as 3 ? x < 5
-
Even function
A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.
-
Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
-
Gaussian curve
See Normal curve.
-
Jump discontinuity at x a
limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal
-
Line of symmetry
A line over which a graph is the mirror image of itself
-
Local extremum
A local maximum or a local minimum
-
Modified boxplot
A boxplot with the outliers removed.
-
Negative angle
Angle generated by clockwise rotation.
-
Normal curve
The graph of ƒ(x) = e-x2/2
-
Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2
-
Rectangular coordinate system
See Cartesian coordinate system.
-
Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.
-
Vertical translation
A shift of a graph up or down.
-
Ymin
The y-value of the bottom of the viewing window.
-
z-axis
Usually the third dimension in Cartesian space.
-
Zero factorial
See n factorial.
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