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# Solutions for Chapter 4.8: Applications and Models

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 4.8: Applications and Models

Solutions for Chapter 4.8
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##### ISBN: 9780618643448

Chapter 4.8: Applications and Models includes 72 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 72 problems in chapter 4.8: Applications and Models have been answered, more than 35097 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Arctangent function

See Inverse tangent function.

• Differentiable at x = a

ƒ'(a) exists

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Initial point

See Arrow.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Normal curve

The graph of ƒ(x) = e-x2/2

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

An angle in standard position whose terminal side lies on an axis.

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Secant

The function y = sec x.

• Slope-intercept form (of a line)

y = mx + b

• 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

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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