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Solutions for Chapter 9.1: Modeling with Differential Equations

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Solutions for Chapter 9.1: Modeling with Differential Equations

This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 9.1: Modeling with Differential Equations includes 15 full step-by-step solutions. Since 15 problems in chapter 9.1: Modeling with Differential Equations have been answered, more than 31287 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Central angle

    An angle whose vertex is the center of a circle

  • Constant function (on an interval)

    ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

  • Difference identity

    An identity involving a trigonometric function of u - v

  • Directed line segment

    See Arrow.

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • Half-plane

    The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

  • Imaginary unit

    The complex number.

  • Infinite limit

    A special case of a limit that does not exist.

  • Logarithmic regression

    See Natural logarithmic regression

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • Numerical derivative of ƒ at a

    NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

  • Positive numbers

    Real numbers shown to the right of the origin on a number line.

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Proportional

    See Power function

  • Quantitative variable

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

  • Reflection across the y-axis

    x, y and (-x,y) are reflections of each other across the y-axis.

  • Square matrix

    A matrix whose number of rows equals the number of columns.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Velocity

    A vector that specifies the motion of an object in terms of its speed and direction.

  • Zoom out

    A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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