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# Solutions for Chapter 20.1: THE CURL OF A VECTOR FIELD ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 20.1: THE CURL OF A VECTOR FIELD

Solutions for Chapter 20.1
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##### ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 20.1: THE CURL OF A VECTOR FIELD includes 47 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 47 problems in chapter 20.1: THE CURL OF A VECTOR FIELD have been answered, more than 43661 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Complex number

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

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Direct variation

See Power function.

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Imaginary part of a complex number

See Complex number.

• Implied domain

The domain of a function’s algebraic expression.

• Limit to growth

See Logistic growth function.

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Opens upward or downward

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

• Phase shift

See Sinusoid.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Reflexive property of equality

a = a

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

• Ymax

The y-value of the top of the viewing window.

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