- 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 sequence of equal periodic payments.
Axis of symmetry
See Line of symmetry.
The set of points on the “edge” of a region
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined
See Arithmetic sequence.
A sequence or series diverges if it does not converge
Extracting square roots
A method for solving equations in the form x 2 = k.
Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
Identity involving a trigonometric function of u/2.
Inequality symbol or
A set of parametric equations for a curve.
A trigonometric identity that reduces the power to which the trigonometric functions are raised.
The collection of probabilities of outcomes in a sample space assigned by a probability function.
Range (in statistics)
The difference between the greatest and least values in a data set.
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically
Stretch of factor c
A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.
Vertical line test
A test for determining whether a graph is a function.
A point that lies on both the graph and the y-axis.