- 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
An angle whose measure is between 0° and 90°
Additive inverse of a complex number
The opposite of a + bi, or -a - bi
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once
The two separate curves that make up a hyperbola
An interval that includes its endpoints
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers
A procedure for fitting an exponential function to a set of data.
First-degree equation in x , y, and z
An equation that can be written in the form.
Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.
Magnitude of a real number
See Absolute value of a real number
See Circle graph.
The collection of probabilities of outcomes in a sample space assigned by a probability function.
Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,
See Power function
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2
tan ?= sin ?cos ?and cot ?= cos ? sin ?
The principle of experimental design that makes it possible to use the laws of probability when making inferences.
Any number that can be written as a decimal.
Right-hand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.
A vector that specifies the motion of an object in terms of its speed and direction.