# Solutions for Chapter 3: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 3

Solutions for Chapter 3
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##### ISBN: 9780321884077

Since 221 problems in chapter 3 have been answered, more than 41353 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Chapter 3 includes 221 full step-by-step solutions. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Base

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

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Factored form

The left side of u(v + w) = uv + uw.

• Focal width of a parabola

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

• Instantaneous rate of change

See Derivative at x = a.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• n-set

A set of n objects.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• 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.

• Row operations

See Elementary row operations.

• Sequence

See Finite sequence, Infinite sequence.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Terminal side of an angle

See Angle.

• Unit circle

A circle with radius 1 centered at the origin.

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