- 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
A sequence of equal periodic payments.
A set of points in a plane equally distant from a fixed point called the center
Conic section (or conic)
A curve obtained by intersecting a double-napped right circular cone with a plane
Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)
The process of utilizing general information to prove a specific hypothesis
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
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.
A function whose domain is the set of all natural numbers.
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
Mean (of a set of data)
The sum of all the data divided by the total number of items
Mode of a data set
The category or number that occurs most frequently in the set.
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.
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.
A trigonometric identity that reduces the power to which the trigonometric functions are raised.
Reflection across the x-axis
x, y and (x,-y) are reflections of each other across the x-axis.
Root of an equation
See Elementary row operations.
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
The function y = tan x