- 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: Integrals and Transcendental Functions
- Chapter 8: Techniques of Integration
- Chapter 9: First-Order Differential Equations
Thomas' Calculus Early Transcendentals 12th Edition - Solutions by Chapter
Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition
ISBN: 9780321588760
Solutions by Chapter
The full step-by-step solution to problem in Thomas' Calculus Early Transcendentals were answered by , our top Calculus solution expert on 11/23/17, 04:45AM. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760. This expansive textbook survival guide covers the following chapters: 16. This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Since problems from 16 chapters in Thomas' Calculus Early Transcendentals have been answered, more than 4869 students have viewed full step-by-step answer.
Key Calculus Terms and definitions covered in this textbook
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Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.
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Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time
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Augmented matrix
A matrix that represents a system of equations.
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Center
The central point in a circle, ellipse, hyperbola, or sphere
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Complements or complementary angles
Two angles of positive measure whose sum is 90°
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Identity
An equation that is always true throughout its domain.
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Initial value of a function
ƒ 0.
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Integrable over [a, b] Lba
ƒ1x2 dx exists.
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Polar axis
See Polar coordinate system.
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Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.
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Pseudo-random numbers
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
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Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
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Quadratic regression
A procedure for fitting a quadratic function to a set of data.
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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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Relation
A set of ordered pairs of real numbers.
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Removable discontinuity at x = a
lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined
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Replication
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
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Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
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Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.
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z-axis
Usually the third dimension in Cartesian space.