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# Solutions for Chapter 1: Vectors ## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652 Solutions for Chapter 1: Vectors

Solutions for Chapter 1
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##### ISBN: 9780321780652

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Chapter 1: Vectors includes 45 full step-by-step solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Since 45 problems in chapter 1: Vectors have been answered, more than 12957 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Difference identity

An identity involving a trigonometric function of u - v

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Eccentricity

A nonnegative number that specifies how off-center the focus of a conic is

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Frequency table (in statistics)

A table showing frequencies.

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Imaginary axis

See Complex plane.

• 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.

• Leaf

The final digit of a number in a stemplot.

• Matrix, m x n

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

• Minute

Angle measure equal to 1/60 of a degree.

• Opposite

See Additive inverse of a real number and Additive inverse of a complex number.

• Power regression

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

• Sum of complex numbers

(a + bi) + (c + di) = (a + c) + (b + d)i

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Zero factorial

See n factorial.

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