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# Solutions for Chapter 4: Applications of Derivatives ## Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992 Solutions for Chapter 4: Applications of Derivatives

Solutions for Chapter 4
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##### ISBN: 9780321587992

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Since 82 problems in chapter 4: Applications of Derivatives have been answered, more than 11436 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Chapter 4: Applications of Derivatives includes 82 full step-by-step solutions.

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

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

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Directed angle

See Polar coordinates.

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Graphical model

A visible representation of a numerical or algebraic model.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Independent variable

Variable representing the domain value of a function (usually x).

• 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

• Logarithmic form

An equation written with logarithms instead of exponents

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Phase shift

See Sinusoid.

• Random behavior

Behavior that is determined only by the laws of probability.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Standard form: equation of a circle

(x - h)2 + (y - k2) = r 2

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• Unit ratio

See Conversion factor.

• Weights

See Weighted mean.

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