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Solutions for Chapter 6: Line Integrals

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Solutions for Chapter 6: Line Integrals

Solutions for Chapter 6
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Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
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. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Chapter 6: Line Integrals includes 39 full step-by-step solutions. Since 39 problems in chapter 6: Line Integrals have been answered, more than 12652 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Compound fraction

    A fractional expression in which the numerator or denominator may contain fractions

  • Conditional probability

    The probability of an event A given that an event B has already occurred

  • Coordinate(s) of a point

    The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

  • Distance (in a coordinate plane)

    The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

  • DMS measure

    The measure of an angle in degrees, minutes, and seconds

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Five-number summary

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

  • Future value of an annuity

    The net amount of money returned from an annuity.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Jump discontinuity at x a

    limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

  • kth term of a sequence

    The kth expression in the sequence

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Local maximum

    A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

  • Probability of an event in a finite sample space of equally likely outcomes

    The number of outcomes in the event divided by the number of outcomes in the sample space.

  • Randomization

    The principle of experimental design that makes it possible to use the laws of probability when making inferences.

  • Reciprocal identity

    An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

  • Reflection through the origin

    x, y and (-x,-y) are reflections of each other through the origin.

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Symmetric property of equality

    If a = b, then b = a

  • Vertices of an ellipse

    The points where the ellipse intersects its focal axis.

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