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# Solutions for Chapter 13.4: Differentials ## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770 Solutions for Chapter 13.4: Differentials

Solutions for Chapter 13.4
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##### ISBN: 9781285774770

Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Since 44 problems in chapter 13.4: Differentials have been answered, more than 45627 students have viewed full step-by-step solutions from this chapter. Chapter 13.4: Differentials includes 44 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Annuity

A sequence of equal periodic payments.

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Equal complex numbers

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

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Event

A subset of a sample space.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Natural logarithm

A logarithm with base e.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Real axis

See Complex plane.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• System

A set of equations or inequalities.

• Unit vector

Vector of length 1.

• Vertical line

x = a.

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