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Solutions for Chapter 8: Differential Equations

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 8: Differential Equations

Solutions for Chapter 8
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Textbook: Calculus:Early Transcendentals
Edition: 7
Author: C. Henry Edwards
ISBN: 9780131569898

Summary of Chapter 8: Differential Equations

A differential equation is an equation that relates one or more unknown functions and their derivatives. Slope fields and approximate numerical solutions.

Chapter 8: Differential Equations includes 83 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 83 problems in chapter 8: Differential Equations have been answered, more than 40425 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

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.

  • Complex number

    An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

  • Coterminal angles

    Two angles having the same initial side and the same terminal side

  • Direction of an arrow

    The angle the arrow makes with the positive x-axis

  • Elimination method

    A method of solving a system of linear equations

  • Horizontal Line Test

    A test for determining whether the inverse of a relation is a function.

  • Least-squares line

    See Linear regression line.

  • 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

  • Outliers

    Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Probability simulation

    A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • Randomization

    The principle of experimental design that makes it possible to use the laws of probability when making inferences.

  • Reflexive property of equality

    a = a

  • Simple harmonic motion

    Motion described by d = a sin wt or d = a cos wt

  • Solve by substitution

    Method for solving systems of linear equations.

  • Sphere

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

  • Triangular number

    A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

  • xy-plane

    The points x, y, 0 in Cartesian space.