Solutions for Chapter 9: First-Order Differential Equations

Thomas' Calculus Early Transcendentals | 12th Edition | ISBN: 9780321588760 | Authors: George B. Thomas

Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition

ISBN: 9780321588760

Thomas' Calculus Early Transcendentals | 12th Edition | ISBN: 9780321588760 | Authors: George B. Thomas

Solutions for Chapter 9: First-Order Differential Equations

Solutions for Chapter 9
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Textbook: Thomas' Calculus Early Transcendentals
Edition: 12
Author: George B. Thomas
ISBN: 9780321588760

This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Chapter 9: First-Order Differential Equations includes 36 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 36 problems in chapter 9: First-Order Differential Equations have been answered, more than 4123 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760.

Key Calculus Terms and definitions covered in this textbook
  • Angle

    Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

  • Associative properties

    a + (b + c) = (a + b) + c, a(bc) = (ab)c.

  • Blind experiment

    An experiment in which subjects do not know if they have been given an active treatment or a placebo

  • Cardioid

    A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • Gaussian curve

    See Normal curve.

  • Jump discontinuity at x a

    limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

  • Multiplicative inverse of a matrix

    See Inverse of a matrix

  • nth root

    See Principal nth root

  • Numerical model

    A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

  • Perpendicular lines

    Two lines that are at right angles to each other

  • Quadratic regression

    A procedure for fitting a quadratic function to a set of data.

  • Reciprocal function

    The function ƒ(x) = 1x

  • Residual

    The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

  • Semiperimeter of a triangle

    One-half of the sum of the lengths of the sides of a triangle.

  • Solve by elimination or substitution

    Methods for solving systems of linear equations.

  • Square matrix

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

  • Transitive property

    If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

  • Translation

    See Horizontal translation, Vertical translation.

  • x-intercept

    A point that lies on both the graph and the x-axis,.

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