- 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
Measure of the clockwise angle that the line of travel makes with due north
A sample that sacrifices randomness for convenience
The function y = cot x
Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.
Events A and B such that P(A and B) = P(A)P(B)
Initial value of a function
Inverse cosecant function
The function y = csc-1 x
An expression of the form logb x (see Logarithmic function)
Multiplication principle of counting
A principle used to find the number of ways an event can occur.
One-to-one rule of exponents
x = y if and only if bx = by.
Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.
See Viewing window.
Two points that are symmetric with respect to a lineor a point.
An equation found by regression and which can be used to predict unknown values.
See Elementary row operations.
p = ƒ(x), where x represents production and p represents price
Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.
The function that associates points on the unit circle with points on the real number line