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

The farthest point from the Sun in a planet’s orbit

det(xIn - A), where A is an n x n matrix

See Arithmetic sequence.

A ratio equal to 1, used for unit conversion

The function y = cot x

See Bearing.

The process of utilizing general information to prove a specific hypothesis

A vector in the direction of a line in three-dimensional space

An equation that is always true throughout its domain.

See Magnitude of a vector.

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

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)

See Partial fractions.

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.

See Polar coordinate system.

A variable (in statistics) that takes on numerical values for a characteristic being measured.

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

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

To find one or more unknown sides or angles of a triangle

See Convergence of a series