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# Solutions for Chapter 3.3: Vector Fields: An Introduction ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Solutions for Chapter 3.3: Vector Fields: An Introduction

Solutions for Chapter 3.3
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##### ISBN: 9780321780652

This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652. This expansive textbook survival guide covers the following chapters and their solutions. Since 31 problems in chapter 3.3: Vector Fields: An Introduction have been answered, more than 12423 students have viewed full step-by-step solutions from this chapter. Chapter 3.3: Vector Fields: An Introduction includes 31 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• 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.

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Common difference

See Arithmetic sequence.

• Elimination method

A method of solving a system of linear equations

• Five-number summary

The minimum, first quartile, median, third quartile, and maximum of a data set.

• Frequency table (in statistics)

A table showing frequencies.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• Interquartile range

The difference between the third quartile and the first quartile.

• Logarithmic form

An equation written with logarithms instead of exponents

• n-set

A set of n objects.

• Natural logarithm

A logarithm with base e.

• Pie chart

See Circle graph.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Scalar

A real number.

• Spiral of Archimedes

The graph of the polar curve.

• Standard form of a complex number

a + bi, where a and b are real numbers

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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