- 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
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.
Speed of rotation, typically measured in radians or revolutions per unit time
A matrix that represents a system of equations.
The central point in a circle, ellipse, hyperbola, or sphere
Complements or complementary angles
Two angles of positive measure whose sum is 90°
An equation that is always true throughout its domain.
Initial value of a function
Integrable over [a, b] Lba
ƒ1x2 dx exists.
See Polar coordinate system.
A function in which ƒ(x)is a polynomial in x, p. 158.
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
Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02
A procedure for fitting a quadratic function to a set of data.
Reflection across the x-axis
x, y and (x,-y) are reflections of each other across the x-axis.
A set of ordered pairs of real numbers.
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
The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.
Usually the third dimension in Cartesian space.