- 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 + (b + c) = (a + b) + c, a(bc) = (ab)c.
The two separate curves that make up a hyperbola
An angle whose vertex is the center of a circle
An event whose probability depends on another event already occurring
Direction of an arrow
The angle the arrow makes with the positive x-axis
Vectors with the same magnitude and direction.
Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .
Inverse sine function
The function y = sin-1 x
Zeros of a function that are irrational numbers.
Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large
Logarithmic re-expression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression
See Natural logarithmic regression
Measure of an angle
The number of degrees or radians in an angle
Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.
Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.
The function ƒ(x) = 1x
The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.
The x-value of the left side of the viewing window,.
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).