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# Solutions for Chapter 9.5: Linear Equations

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 9.5: Linear Equations

Solutions for Chapter 9.5
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##### ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 9.5: Linear Equations includes 38 full step-by-step solutions. Since 38 problems in chapter 9.5: Linear Equations have been answered, more than 107082 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Arcsine function

See Inverse sine function.

• Base

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

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Constant of variation

See Power function.

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Sample survey

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

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Slope-intercept form (of a line)

y = mx + b

• Solution set of an inequality

The set of all solutions of an inequality

• Standard form of a complex number

a + bi, where a and b are real numbers

• Standard form of a polynomial function

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

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.