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Solutions for Chapter 4.7: Fundamentals of Differential Equations 8th Edition

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Solutions for Chapter 4.7

Solutions for Chapter 4.7
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. Chapter 4.7 includes 54 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since 54 problems in chapter 4.7 have been answered, more than 66508 students have viewed full step-by-step solutions from this chapter.

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

    The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

  • Angle of depression

    The acute angle formed by the line of sight (downward) and the horizontal

  • Cosecant

    The function y = csc x

  • Half-angle identity

    Identity involving a trigonometric function of u/2.

  • Independent events

    Events A and B such that P(A and B) = P(A)P(B)

  • Length of a vector

    See Magnitude of a vector.

  • Lower bound of f

    Any number b for which b < ƒ(x) for all x in the domain of ƒ

  • Maximum r-value

    The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

  • Minor axis

    The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Natural logarithmic regression

    A procedure for fitting a logarithmic curve to a set of data.

  • Product rule of logarithms

    ogb 1RS2 = logb R + logb S, R > 0, S > 0,

  • Relation

    A set of ordered pairs of real numbers.

  • Right circular cone

    The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Sinusoidal regression

    A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

  • Unit vector in the direction of a vector

    A unit vector that has the same direction as the given vector.

  • Vertex form for a quadratic function

    ƒ(x) = a(x - h)2 + k

  • Vertical translation

    A shift of a graph up or down.

  • yz-plane

    The points (0, y, z) in Cartesian space.

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