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# Solutions for Chapter 1.7: INTRODUCTION TO CONTINUITY ## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643 Solutions for Chapter 1.7: INTRODUCTION TO CONTINUITY

Solutions for Chapter 1.7
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##### ISBN: 9780470888643

Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Chapter 1.7: INTRODUCTION TO CONTINUITY includes 47 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 47 problems in chapter 1.7: INTRODUCTION TO CONTINUITY have been answered, more than 35169 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

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

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Local extremum

A local maximum or a local minimum

• Matrix element

Any of the real numbers in a matrix

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Octants

The eight regions of space determined by the coordinate planes.

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Order of magnitude (of n)

log n.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• 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

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Second quartile

See Quartile.

• Series

A finite or infinite sum of terms.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Vertical line test

A test for determining whether a graph is a function.

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