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# Solutions for Chapter 7.2: Systems of Linear Equations in Three Variables

## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845

Solutions for Chapter 7.2: Systems of Linear Equations in Three Variables

Solutions for Chapter 7.2
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##### ISBN: 9780321559845

Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions. Since 55 problems in chapter 7.2: Systems of Linear Equations in Three Variables have been answered, more than 48658 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter 7.2: Systems of Linear Equations in Three Variables includes 55 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Amplitude

See Sinusoid.

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Hyperboloid of revolution

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

• Line of symmetry

A line over which a graph is the mirror image of itself

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Measure of center

A measure of the typical, middle, or average value for a data set

• Multiplication property of inequality

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

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Negative linear correlation

See Linear correlation.

• One-to-one rule of exponents

x = y if and only if bx = by.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Reflection across the x-axis

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

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Scatter plot

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

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Trigonometric form of a complex number

r(cos ? + i sin ?)

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