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# Solutions for Chapter 2.5: Continuity

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 2.5: Continuity

Solutions for Chapter 2.5
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##### ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 2.5: Continuity includes 73 full step-by-step solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 73 problems in chapter 2.5: Continuity have been answered, more than 38035 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Common difference

See Arithmetic sequence.

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Constant term

See Polynomial function

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Magnitude of an arrow

The magnitude of PQ is the distance between P and Q

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• Power regression

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

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Quotient identities

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

• Quotient polynomial

See Division algorithm for polynomials.

• Unit circle

A circle with radius 1 centered at the origin.

• Unit vector

Vector of length 1.

• Vertex of an angle

See Angle.

• yz-plane

The points (0, y, z) in Cartesian space.

• Zero vector

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

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