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# Solutions for Chapter 12.5: The Area Problem ## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202 Solutions for Chapter 12.5: The Area Problem

Solutions for Chapter 12.5
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##### ISBN: 9781133947202

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. Since 52 problems in chapter 12.5: The Area Problem have been answered, more than 35738 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: The Area Problem includes 52 full step-by-step solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202.

Key Calculus Terms and definitions covered in this textbook
• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Bar chart

A rectangular graphical display of categorical data.

• Composition of functions

(f ? g) (x) = f (g(x))

• Identity

An equation that is always true throughout its domain.

• Implied domain

The domain of a function’s algebraic expression.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Perpendicular lines

Two lines that are at right angles to each other

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Real axis

See Complex plane.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Reflection across the x-axis

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

• Root of a number

See Principal nth root.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Subtraction

a - b = a + (-b)

• Time plot

A line graph in which time is measured on the horizontal axis.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• x-intercept

A point that lies on both the graph and the x-axis,.

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