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# Solutions for Chapter 4: Applications of Derivatives

## Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition

ISBN: 9780321588760

Solutions for Chapter 4: Applications of Derivatives

Solutions for Chapter 4
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##### ISBN: 9780321588760

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4: Applications of Derivatives includes 136 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Since 136 problems in chapter 4: Applications of Derivatives have been answered, more than 2077 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

If u < v , then u + w < v + w

• Coordinate plane

See Cartesian coordinate system.

• Directed distance

See Polar coordinates.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Linear function

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

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Measure of center

A measure of the typical, middle, or average value for a data set

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

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

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Singular matrix

A square matrix with zero determinant

• Square matrix

A matrix whose number of rows equals the number of columns.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• Zero vector

The vector <0,0> or <0,0,0>.

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