Solutions for Chapter 3: Calculus:Early Transcendentals 7th Edition

See Geometric sequence.

(f ? g) (x) = f (g(x))

Systems of equations that have the same solution.

Finding a line or curve that comes close to passing through all the points in a scatter plot.

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

The function ƒ(x) = x.

A function that is a subset of a relation defined by an equation in x and y.

Variable representing the domain value of a function (usually x).

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

The diagonal from the top left to the bottom right of a square matrix

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)

A pair of real numbers (x, y), p. 12.

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Angle generated by a counterclockwise rotation.

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

A set of points in Cartesian space equally distant from a fixed point called the center.

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

The square of the standard deviation.

The point of intersection of a parabola and its line of symmetry.