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# Solutions for Chapter 1.7: INTRODUCTION TO CONTINUITY

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 1.7: INTRODUCTION TO CONTINUITY

Solutions for Chapter 1.7
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##### ISBN: 9780470888612

Chapter 1.7: INTRODUCTION TO CONTINUITY includes 47 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Since 47 problems in chapter 1.7: INTRODUCTION TO CONTINUITY have been answered, more than 43298 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Combination

An arrangement of elements of a set, in which order is not important

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Equivalent systems of equations

Systems of equations that have the same solution.

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

An equation that can be written in the form.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Leaf

The final digit of a number in a stemplot.

• Length of a vector

See Magnitude of a vector.

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Matrix, m x n

A rectangular array of m rows and n columns of real numbers

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Polar equation

An equation in r and ?.

• Positive numbers

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

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Union of two sets A and B

The set of all elements that belong to A or B or both.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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