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# Solutions for Chapter 10: TOPICS FROM ANALYTIC GEOMETRY

## Full solutions for Precalculus: Functions and Graphs | 12th Edition

ISBN: 9780840068576

Solutions for Chapter 10: TOPICS FROM ANALYTIC GEOMETRY

Solutions for Chapter 10
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##### ISBN: 9780840068576

Precalculus: Functions and Graphs was written by and is associated to the ISBN: 9780840068576. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Functions and Graphs, edition: 12. Since 547 problems in chapter 10: TOPICS FROM ANALYTIC GEOMETRY have been answered, more than 19163 students have viewed full step-by-step solutions from this chapter. Chapter 10: TOPICS FROM ANALYTIC GEOMETRY includes 547 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Components of a vector

See Component form of a vector.

• Constant of variation

See Power function.

• Constraints

See Linear programming problem.

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Independent variable

Variable representing the domain value of a function (usually x).

• Inverse sine function

The function y = sin-1 x

• Inverse variation

See Power function.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Partial fraction decomposition

See Partial fractions.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Sine

The function y = sin x.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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