# Solutions for Chapter 8.3: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 8.3

Solutions for Chapter 8.3
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##### ISBN: 9780321884077

Since 74 problems in chapter 8.3 have been answered, more than 41981 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. Chapter 8.3 includes 74 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Equilibrium price

See Equilibrium point.

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Extracting square roots

A method for solving equations in the form x 2 = k.

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Line of travel

The path along which an object travels

• Normal curve

The graph of ƒ(x) = e-x2/2

• Normal distribution

A distribution of data shaped like the normal curve.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Open interval

An interval that does not include its endpoints.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• 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

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Root of an equation

A solution.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

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