Solutions for Chapter 1,1: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 1,1
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Bounded
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.

Coefficient matrix
A matrix whose elements are the coefficients in a system of linear equations

Compounded monthly
See Compounded k times per year.

Continuous function
A function that is continuous on its entire domain

Explanatory variable
A variable that affects a response variable.

Halfangle identity
Identity involving a trigonometric function of u/2.

Inverse sine function
The function y = sin1 x

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

Mathematical induction
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)

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

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Negative linear correlation
See Linear correlation.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Principal nth root
If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

Real axis
See Complex plane.

Real number
Any number that can be written as a decimal.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Slopeintercept form (of a line)
y = mx + b