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Solutions for Chapter 4.2: Area

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Full solutions for Calculus | 9th Edition

ISBN: 9780547167022

Calculus | 9th Edition | ISBN: 9780547167022 | Authors: Ron Larson, Bruce H. Edwards

Solutions for Chapter 4.2: Area

Solutions for Chapter 4.2
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Textbook: Calculus
Edition: 9
Author: Ron Larson, Bruce H. Edwards
ISBN: 9780547167022

This expansive textbook survival guide covers the following chapters and their solutions. Since 93 problems in chapter 4.2: Area have been answered, more than 17995 students have viewed full step-by-step solutions from this chapter. Calculus was written by Patricia and is associated to the ISBN: 9780547167022. This textbook survival guide was created for the textbook: Calculus , edition: 9. Chapter 4.2: Area includes 93 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • Absolute value of a vector

    See Magnitude of a vector.

  • Bounded below

    A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

  • Characteristic polynomial of a square matrix A

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

  • Complex fraction

    See Compound fraction.

  • 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

  • Directed angle

    See Polar coordinates.

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Future value of an annuity

    The net amount of money returned from an annuity.

  • kth term of a sequence

    The kth expression in the sequence

  • Magnitude of a real number

    See Absolute value of a real number

  • Normal curve

    The graph of ƒ(x) = e-x2/2

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Quantitative variable

    A variable (in statistics) that takes on numerical values for a characteristic being measured.

  • Removable discontinuity at x = a

    lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

  • Rose curve

    A graph of a polar equation or r = a cos nu.

  • Sine

    The function y = sin x.

  • Vector equation for a line in space

    The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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