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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 5194 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
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Binomial

A polynomial with exactly two terms

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Compounded continuously

Interest compounded using the formula A = Pert

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Cotangent

The function y = cot x

• Dihedral angle

An angle formed by two intersecting planes,

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Horizontal component

See Component form of a vector.

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Modulus

See Absolute value of a complex number.

• Piecewise-defined function

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

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

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

• Rectangular coordinate system

See Cartesian coordinate system.

• Right triangle

A triangle with a 90° angle.

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Variation

See Power function.

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