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Solutions for Chapter 8-6: Length of a Plane CurveArc Length

Calculus: Concepts and Applications | 2nd Edition | ISBN: 9781559536547 | Authors: Paul A. Foerster

Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547

Calculus: Concepts and Applications | 2nd Edition | ISBN: 9781559536547 | Authors: Paul A. Foerster

Solutions for Chapter 8-6: Length of a Plane CurveArc Length

Solutions for Chapter 8-6
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Textbook: Calculus: Concepts and Applications
Edition: 2
Author: Paul A. Foerster
ISBN: 9781559536547

Chapter 8-6: Length of a Plane CurveArc Length includes 36 full step-by-step solutions. Since 36 problems in chapter 8-6: Length of a Plane CurveArc Length have been answered, more than 15341 students have viewed full step-by-step solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Algebraic expression

    A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Control

    The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Dependent variable

    Variable representing the range value of a function (usually y)

  • Equation

    A statement of equality between two expressions.

  • equation of an ellipse

    (x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Horizontal shrink or stretch

    See Shrink, stretch.

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Mapping

    A function viewed as a mapping of the elements of the domain onto the elements of the range

  • Multiplication property of inequality

    If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

  • Ordinary annuity

    An annuity in which deposits are made at the same time interest is posted.

  • Parameter

    See Parametric equations.

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Standard form of a polar equation of a conic

    r = ke 1 e cos ? or r = ke 1 e sin ? ,

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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