Solutions for Chapter 10.2: Calculus: Early Transcendentals 1st Edition

lim x:a x a ƒ(x) = ƒ(a)

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

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

Ax + By + C = 0, where A and B are not both zero.

A test for determining whether the inverse of a relation is a function.

The limit of ƒ as x approaches a from the left.

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

The order of an m x n matrix is m x n.

Two vectors u and v with u x v = 0.

In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

The distance from the center to a vertex of an ellipse.

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

The matrix AT obtained by interchanging the rows and columns of A.

A visualization of the Multiplication Principle of Probability.

See Right circular cone.

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.