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Solutions for Chapter 20.1: THE CURL OF A VECTOR FIELD

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

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

ISBN: 9780470888612

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Solutions for Chapter 20.1: THE CURL OF A VECTOR FIELD

Solutions for Chapter 20.1
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Textbook: Calculus: Single and Multivariable
Edition: 6
Author: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more
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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