- Chapter 1: Functions
- Chapter 10: Infinite Sequences and Series
- Chapter 11: Parametric Equations and Polar Coordinates
- Chapter 12: Vectors and the Geometry of Space
- Chapter 13: Vector-Valued Functions and Motion in Space
- Chapter 14: Partial Derivatives
- Chapter 15: Multiple Integrals
- Chapter 16: Integration in Vector Fields
- Chapter 2: Limits and Continuity
- Chapter 3: Differentiation
- Chapter 4: Applications of Derivatives
- Chapter 5: Integration
- Chapter 6: Applications of Definite Integrals
- Chapter 7: Transcendental Functions
- Chapter 8: Techniques of Integration
- Chapter 9: First-Order Differential Equations
Thomas' Calculus 12th Edition - Solutions by Chapter
Full solutions for Thomas' Calculus | 12th Edition
ISBN: 9780321587992
Solutions by Chapter
The full step-by-step solution to problem in Thomas' Calculus were answered by , our top Calculus solution expert on 11/23/17, 04:58AM. Since problems from 16 chapters in Thomas' Calculus have been answered, more than 52292 students have viewed full step-by-step answer. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. This expansive textbook survival guide covers the following chapters: 16. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12.
Key Calculus Terms and definitions covered in this textbook
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Annuity
A sequence of equal periodic payments.
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Circle
A set of points in a plane equally distant from a fixed point called the center
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Conic section (or conic)
A curve obtained by intersecting a double-napped right circular cone with a plane
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Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)
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Deductive reasoning
The process of utilizing general information to prove a specific hypothesis
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Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
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Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.
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Infinite sequence
A function whose domain is the set of all natural numbers.
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Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I
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Mean (of a set of data)
The sum of all the data divided by the total number of items
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Mode of a data set
The category or number that occurs most frequently in the set.
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Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.
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Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
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Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.
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Power-reducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.
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Reflection across the x-axis
x, y and (x,-y) are reflections of each other across the x-axis.
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Root of an equation
A solution.
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Row operations
See Elementary row operations.
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Symmetric about the origin
A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is
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Tangent
The function y = tan x