Solutions for Chapter 1.2: Calculus: Early Transcendentals 1st Edition

The annual interest rate

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

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

The process of utilizing general information to prove a specific hypothesis

See Power function.

Complex numbers whose real parts are equal and whose imaginary parts are equal.

Arrows that have the same magnitude and direction.

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

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

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

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

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

There are nPr = n!1n - r2! such permutations

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

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

Ratio change in y/change in x

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

The function y = tan x

See Right circular cone.

The scale of the tick marks on the y-axis in a viewing window.