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# Solutions for Chapter P.1: Prerequisites

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

ISBN: 9780321656933

Solutions for Chapter P.1: Prerequisites

Solutions for Chapter P.1
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##### ISBN: 9780321656933

Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933. Since 85 problems in chapter P.1: Prerequisites have been answered, more than 45625 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. This expansive textbook survival guide covers the following chapters and their solutions. Chapter P.1: Prerequisites includes 85 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Branches

The two separate curves that make up a hyperbola

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Directed angle

See Polar coordinates.

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Horizontal line

y = b.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Ordered pair

A pair of real numbers (x, y), p. 12.

• Polar axis

See Polar coordinate system.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• 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

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• xy-plane

The points x, y, 0 in Cartesian space.

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