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# Solutions for Chapter 8.4: Analytic Geometry in Two and Three Dimensions

## Full solutions for Precalculus: Graphical, Numerical, Algebraic | 8th Edition

ISBN: 9780321656933

Solutions for Chapter 8.4: Analytic Geometry in Two and Three Dimensions

Solutions for Chapter 8.4
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##### ISBN: 9780321656933

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Chapter 8.4: Analytic Geometry in Two and Three Dimensions includes 79 full step-by-step solutions. Since 79 problems in chapter 8.4: Analytic Geometry in Two and Three Dimensions have been answered, more than 43194 students have viewed full step-by-step solutions from this chapter. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

Key Calculus Terms and definitions covered in this textbook
• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Census

An observational study that gathers data from an entire population

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Inequality

A statement that compares two quantities using an inequality symbol

• Infinite limit

A special case of a limit that does not exist.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Local extremum

A local maximum or a local minimum

• Major axis

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

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Natural logarithmic function

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

• Normal curve

The graph of ƒ(x) = e-x2/2

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Reflection across the y-axis

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

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Unit ratio

See Conversion factor.

• 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.

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