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Solutions for Chapter 9.2: A First Course in Differential Equations with Modeling Applications 10th Edition

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

Solutions for Chapter 9.2

Solutions for Chapter 9.2
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Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

Chapter 9.2 includes 21 full step-by-step solutions. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Since 21 problems in chapter 9.2 have been answered, more than 48555 students have viewed full step-by-step solutions from this chapter. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052.

Key Calculus Terms and definitions covered in this textbook
  • Additive inverse of a real number

    The opposite of b , or -b

  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • Binomial coefficients

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

  • Conjugate axis of a hyperbola

    The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

  • Distance (in Cartesian space)

    The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

  • Elementary row operations

    The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

  • equation of an ellipse

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

  • Half-plane

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

  • Inverse cosecant function

    The function y = csc-1 x

  • Odd function

    A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

  • Polar coordinates

    The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

  • Root of a number

    See Principal nth root.

  • Semimajor axis

    The distance from the center to a vertex of an ellipse.

  • Slope-intercept form (of a line)

    y = mx + b

  • Standard form of a polar equation of a conic

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

  • Symmetric about the y-axis

    A graph in which (-x, y) is on the graph whenever (x, y) is; or a graph in which (-r, -?) or (r, ?, -?) is on the graph whenever (r, ?) is

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

  • Third quartile

    See Quartile.

  • Trigonometric form of a complex number

    r(cos ? + i 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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