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# Solutions for Chapter 4.8: Applications and Models

## Full solutions for Precalculus with Limits | 3rd Edition

ISBN: 9781133947202

Solutions for Chapter 4.8: Applications and Models

Solutions for Chapter 4.8
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##### ISBN: 9781133947202

Chapter 4.8: Applications and Models includes 62 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 62 problems in chapter 4.8: Applications and Models have been answered, more than 33886 students have viewed full step-by-step solutions from this chapter. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Common ratio

See Geometric sequence.

• 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

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Frequency

Reciprocal of the period of a sinusoid.

• Initial side of an angle

See Angle.

• Leaf

The final digit of a number in a stemplot.

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Numerical model

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

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Perihelion

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

• Product of complex numbers

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

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Real part of a complex number

See Complex number.

• Sample space

Set of all possible outcomes of an experiment.

• Solve graphically

Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Zero of a function

A value in the domain of a function that makes the function value zero.

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