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# Solutions for Chapter 5.4: Uniform Continuity

## Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 5.4: Uniform Continuity

Solutions for Chapter 5.4
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##### ISBN: 9780471321484

This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. Since 17 problems in chapter 5.4: Uniform Continuity have been answered, more than 9461 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.4: Uniform Continuity includes 17 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Arctangent function

See Inverse tangent function.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Feasible points

Points that satisfy the constraints in a linear programming problem.

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

An equation that can be written in the form.

• Frequency table (in statistics)

A table showing frequencies.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Quotient polynomial

See Division algorithm for polynomials.

• Random behavior

Behavior that is determined only by the laws of probability.

• Second quartile

See Quartile.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Sequence

See Finite sequence, Infinite sequence.

• Terms of a sequence

The range elements of a sequence.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertical stretch or shrink

See Stretch, Shrink.

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