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Solutions for Chapter 15.3: Conservative Vector Fields and Independence of Path

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 15.3: Conservative Vector Fields and Independence of Path

Solutions for Chapter 15.3
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 51 problems in chapter 15.3: Conservative Vector Fields and Independence of Path have been answered, more than 79676 students have viewed full step-by-step solutions from this chapter. Chapter 15.3: Conservative Vector Fields and Independence of Path includes 51 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • artesian coordinate system

    An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

  • Back-to-back stemplot

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

  • Basic logistic function

    The function ƒ(x) = 1 / 1 + e-x

  • Constant term

    See Polynomial function

  • Continuous at x = a

    lim x:a x a ƒ(x) = ƒ(a)

  • Direction vector for a line

    A vector in the direction of a line in three-dimensional space

  • Fitting a line or curve to data

    Finding a line or curve that comes close to passing through all the points in a scatter plot.

  • Horizontal translation

    A shift of a graph to the left or right.

  • Measure of center

    A measure of the typical, middle, or average value for a data set

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • Newton’s law of cooling

    T1t2 = Tm + 1T0 - Tm2e-kt

  • Order of an m x n matrix

    The order of an m x n matrix is m x n.

  • Polar distance formula

    The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

  • Real number

    Any number that can be written as a decimal.

  • Semimajor axis

    The distance from the center to a vertex of an ellipse.

  • Solve a triangle

    To find one or more unknown sides or angles of a triangle

  • Sphere

    A set of points in Cartesian space equally distant from a fixed point called the center.

  • Trichotomy property

    For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

  • Union of two sets A and B

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

  • Zero factor property

    If ab = 0 , then either a = 0 or b = 0.

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