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# Solutions for Chapter A.1: Real Numbers and Their Properties

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter A.1: Real Numbers and Their Properties

Solutions for Chapter A.1
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##### ISBN: 9780618643448

This expansive textbook survival guide covers the following chapters and their solutions. Since 115 problems in chapter A.1: Real Numbers and Their Properties have been answered, more than 32222 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter A.1: Real Numbers and Their Properties includes 115 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Boundary

The set of points on the “edge” of a region

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Closed interval

An interval that includes its endpoints

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Cotangent

The function y = cot x

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Frequency (in statistics)

The number of individuals or observations with a certain characteristic.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Natural logarithm

A logarithm with base e.

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Right angle

A 90° angle.

• Slant asymptote

An end behavior asymptote that is a slant line

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Xmin

The x-value of the left side of the viewing window,.

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