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Solutions for Chapter 10.4: Autonomous Systems as Mathematical Models

Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 10.4: Autonomous Systems as Mathematical Models

Solutions for Chapter 10.4
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Chapter 10.4: Autonomous Systems as Mathematical Models includes 22 full step-by-step solutions. Since 22 problems in chapter 10.4: Autonomous Systems as Mathematical Models have been answered, more than 15924 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368.

Key Calculus Terms and definitions covered in this textbook
  • Back-to-back stemplot

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

  • Bounded

    A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

  • Coefficient of determination

    The number r2 or R2 that measures how well a regression curve fits the data

  • Equation

    A statement of equality between two expressions.

  • Graph of a polar equation

    The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

  • Imaginary axis

    See Complex plane.

  • Implicitly defined function

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

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • Leading coefficient

    See Polynomial function in x

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Lower bound for real zeros

    A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

  • 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)

  • Mean (of a set of data)

    The sum of all the data divided by the total number of items

  • Opposite

    See Additive inverse of a real number and Additive inverse of a complex number.

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Point-slope form (of a line)

    y - y1 = m1x - x 12.

  • Rational numbers

    Numbers that can be written as a/b, where a and b are integers, and b ? 0.

  • Rectangular coordinate system

    See Cartesian coordinate system.

  • Stemplot (or stem-and-leaf plot)

    An arrangement of a numerical data set into a specific tabular format.

  • Vertical translation

    A shift of a graph up or down.

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