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Solutions for Chapter 3: Calculus:Early Transcendentals 7th Edition

Calculus:Early Transcendentals | 7th Edition | ISBN: 9780131569898 | Authors: C. Henry Edwards

Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Calculus:Early Transcendentals | 7th Edition | ISBN: 9780131569898 | Authors: C. Henry Edwards

Solutions for Chapter 3

Solutions for Chapter 3
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Textbook: Calculus:Early Transcendentals
Edition: 7
Author: C. Henry Edwards
ISBN: 9780131569898

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3 includes 125 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. Since 125 problems in chapter 3 have been answered, more than 9298 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Common ratio

    See Geometric sequence.

  • Composition of functions

    (f ? g) (x) = f (g(x))

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • 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.

  • Hyperboloid of revolution

    A surface generated by rotating a hyperbola about its transverse axis, p. 607.

  • Identity function

    The function ƒ(x) = x.

  • Implicitly defined function

    A function that is a subset of a relation defined by an equation in x and y.

  • Independent variable

    Variable representing the domain value of a function (usually x).

  • Linear function

    A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

  • LRAM

    A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

  • Main diagonal

    The diagonal from the top left to the bottom right of a square matrix

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Periodic function

    A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

  • Positive angle

    Angle generated by a counterclockwise rotation.

  • 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

  • Sphere

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

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

  • Variance

    The square of the standard deviation.

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

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