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# Solutions for Chapter 6.6: Continuity

## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567

Solutions for Chapter 6.6: Continuity

Solutions for Chapter 6.6
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##### ISBN: 9780321570567

Summary of Chapter 6.6: Continuity

The graphs of many functions encountered in this text contain no holes, jumps, or breaks.

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 54 problems in chapter 6.6: Continuity have been answered, more than 430052 students have viewed full step-by-step solutions from this chapter. Chapter 6.6: Continuity includes 54 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Components of a vector

See Component form of a vector.

• Conditional probability

The probability of an event A given that an event B has already occurred

• Continuous function

A function that is continuous on its entire domain

• Dependent variable

Variable representing the range value of a function (usually y)

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Instantaneous rate of change

See Derivative at x = a.

• Left-hand limit of f at x a

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

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Open interval

An interval that does not include its endpoints.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Reference angle

See Reference triangle

• Remainder polynomial

See Division algorithm for polynomials.

• Series

A finite or infinite sum of terms.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.