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# Solutions for Chapter 9.5: Parametric Equations

## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845

Solutions for Chapter 9.5: Parametric Equations

Solutions for Chapter 9.5
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##### ISBN: 9780321559845

Chapter 9.5: Parametric Equations includes 95 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Since 95 problems in chapter 9.5: Parametric Equations have been answered, more than 67350 students have viewed full step-by-step solutions from this chapter.

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

A matrix that represents a system of equations.

• Circle graph

A circular graphical display of categorical data

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Common difference

See Arithmetic sequence.

• Complex fraction

See Compound fraction.

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Difference of complex numbers

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

• Elimination method

A method of solving a system of linear equations

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Inductive step

See Mathematical induction.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• 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

• Numerical model

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

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Scalar

A real number.

• Variation

See Power function.

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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