- 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 19004 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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Arccosecant function
See Inverse cosecant function.
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Convergence of a sequence
A sequence {an} converges to a if limn: q an = a
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Damping factor
The factor Ae-a in an equation such as y = Ae-at cos bt
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First-degree equation in x , y, and z
An equation that can be written in the form.
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Focal axis
The line through the focus and perpendicular to the directrix of a conic.
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Geometric series
A series whose terms form a geometric sequence.
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Leading term
See Polynomial function in x.
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Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0
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Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2
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Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u
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Radius
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
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Rational expression
An expression that can be written as a ratio of two polynomials.
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Real zeros
Zeros of a function that are real numbers.
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Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
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Spiral of Archimedes
The graph of the polar curve.
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Standard form of a complex number
a + bi, where a and b are real numbers
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Tangent
The function y = tan x
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Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.
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x-intercept
A point that lies on both the graph and the x-axis,.
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Zero factorial
See n factorial.