# Solutions for Chapter 16: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 16

Solutions for Chapter 16
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##### ISBN: 9780321884077

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 16 includes 99 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Since 99 problems in chapter 16 have been answered, more than 44538 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Convenience sample

A sample that sacrifices randomness for convenience

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Equation

A statement of equality between two expressions.

• First quartile

See Quartile.

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Nonsingular matrix

A square matrix with nonzero determinant

• Octants

The eight regions of space determined by the coordinate planes.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Solve a triangle

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

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Terminal point

See Arrow.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Venn diagram

A visualization of the relationships among events within a sample space.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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