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# Solutions for Chapter 8.5: Analytic Geometry in Two and Three Dimensions

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

ISBN: 9780321656933

Solutions for Chapter 8.5: Analytic Geometry in Two and Three Dimensions

Solutions for Chapter 8.5
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##### ISBN: 9780321656933

Chapter 8.5: Analytic Geometry in Two and Three Dimensions includes 69 full step-by-step solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Since 69 problems in chapter 8.5: Analytic Geometry in Two and Three Dimensions have been answered, more than 45608 students have viewed full step-by-step solutions from this chapter. 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.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Expanded form

The right side of u(v + w) = uv + uw.

• Exponential form

An equation written with exponents instead of logarithms.

• First quartile

See Quartile.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Hypotenuse

Side opposite the right angle in a right triangle.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Limit to growth

See Logistic growth function.

• Multiplication property of inequality

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

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Perpendicular lines

Two lines that are at right angles to each other

• Pole

See Polar coordinate system.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Scalar

A real number.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Zero factor property

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

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