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# Solutions for Chapter 9.4: Precalculus 5th Edition

## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349

Solutions for Chapter 9.4

Solutions for Chapter 9.4
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##### ISBN: 9780321837349

Since 13 problems in chapter 9.4 have been answered, more than 10614 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 5. Chapter 9.4 includes 13 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780321837349.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a complex number

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Chord of a conic

A line segment with endpoints on the conic

• Conversion factor

A ratio equal to 1, used for unit conversion

• Cycloid

The graph of the parametric equations

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Focal length of a parabola

The directed distance from the vertex to the focus.

See Polynomial function in x

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Mathematical induction

A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

• Monomial function

A polynomial with exactly one term.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Perihelion

The closest point to the Sun in a planet’s orbit.

• 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

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Relevant domain

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

• Variance

The square of the standard deviation.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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