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# Solutions for Chapter 4.4: Calculus: Early Transcendentals 1st Edition ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 4.4

Solutions for Chapter 4.4
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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.4 includes 51 full step-by-step solutions. Since 51 problems in chapter 4.4 have been answered, more than 279375 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Coefficient matrix

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

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Components of a vector

See Component form of a vector.

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Dependent variable

Variable representing the range value of a function (usually y)

• Empty set

A set with no elements

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Index

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Parametric curve

The graph of parametric equations.

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Slant asymptote

An end behavior asymptote that is a slant line

• Solve by substitution

Method for solving systems of linear equations.

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.