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# Solutions for Chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS

## Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition

ISBN: 9780534402303

Solutions for Chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS

Solutions for Chapter 12.6
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##### ISBN: 9780534402303

Chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS includes 46 full step-by-step solutions. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Since 46 problems in chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS have been answered, more than 25542 students have viewed full step-by-step solutions from this chapter. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Constant term

See Polynomial function

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Dot product

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

• Exponent

See nth power of a.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Initial side of an angle

See Angle.

• Instantaneous rate of change

See Derivative at x = a.

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Solution set of an inequality

The set of all solutions of an inequality

• 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

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Unit vector

Vector of length 1.

• 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.

• Vertical line test

A test for determining whether a graph is a function.

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