- Chapter 1: Functions and Limits
- Chapter 10: Parametric Equations and Polar Coordinates
- Chapter 11: Infinite Sequences and Series
- Chapter 12: Vectors and the Geometry of Space
- Chapter 13: Vector Functions
- Chapter 14: Partial Derivatives
- Chapter 15: Multiple Integrals
- Chapter 16: Vector Calculus
- Chapter 17: Second-Order Differential Equations
- Chapter 2: Derivatives
- Chapter 3: Applications of Differentiation
- Chapter 4: Integrals
- Chapter 5: Applications of Integration
- Chapter 6: Inverse Functions
- Chapter 7: Techniques of Integration
- Chapter 8: Further Applications of Integration
- Chapter 9: Differential Equations
Calculus, 7th Edition - Solutions by Chapter
Full solutions for Calculus, | 7th Edition
See Inverse cosecant function.
See Inverse cosine function.
Chord of a conic
A line segment with endpoints on the conic
Difference of functions
(ƒ - g)(x) = ƒ(x) - g(x)
A sequence or series diverges if it does not converge
A variable that affects a response variable.
Frequency (in statistics)
The number of individuals or observations with a certain characteristic.
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.
Variable representing the domain value of a function (usually x).
Inequality symbol or
Initial value of a function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)
Mean (of a set of data)
The sum of all the data divided by the total number of items
A polynomial with exactly one term.
The collection of probabilities of outcomes in a sample space assigned by a probability function.
Zeros of a function that are real numbers.
Ratio change in y/change in x
The line segment whose endpoints are the vertices of a hyperbola.
The function that associates points on the unit circle with points on the real number line