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Solutions for Chapter 10: Systems of Equations and Inequalities

Full solutions for Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition

ISBN: 9781305071759

Solutions for Chapter 10: Systems of Equations and Inequalities

Solutions for Chapter 10
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ISBN: 9781305071759

Since 112 problems in chapter 10: Systems of Equations and Inequalities have been answered, more than 5139 students have viewed full step-by-step solutions from this chapter. Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10: Systems of Equations and Inequalities includes 112 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Cotangent

The function y = cot x

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Double inequality

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

• End behavior

The behavior of a graph of a function as.

• Equation

A statement of equality between two expressions.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• One-to-one rule of exponents

x = y if and only if bx = by.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Singular matrix

A square matrix with zero determinant

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Tangent

The function y = tan x

• Terminal point

See Arrow.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Vertices of a hyperbola

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

• xz-plane

The points x, 0, z in Cartesian space.

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