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# Solutions for Chapter 4.6: Calculus: Early Transcendentals 1st Edition

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 4.6

Solutions for Chapter 4.6
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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 24 problems in chapter 4.6 have been answered, more than 73069 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Chapter 4.6 includes 24 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bar chart

A rectangular graphical display of categorical data.

• Common difference

See Arithmetic sequence.

• Cosine

The function y = cos x

• Direction vector for a line

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

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Graphical model

A visible representation of a numerical or algebraic model.

• Imaginary unit

The complex number.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• 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)

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• 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.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Rational zeros

Zeros of a function that are rational numbers.

• Remainder polynomial

See Division algorithm for polynomials.

• Scalar

A real number.

• Solution of a system in two variables

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

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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