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Solutions for Chapter 4: Applications of Derivatives

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 4: Applications of Derivatives

Solutions for Chapter 4
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Since 82 problems in chapter 4: Applications of Derivatives have been answered, more than 11436 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. Chapter 4: Applications of Derivatives includes 82 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Angle of depression

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

  • Coefficient

    The real number multiplied by the variable(s) in a polynomial term

  • Directed angle

    See Polar coordinates.

  • Eccentricity

    A nonnegative number that specifies how off-center the focus of a conic is

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Graphical model

    A visible representation of a numerical or algebraic model.

  • Higher-degree polynomial function

    A polynomial function whose degree is ? 3

  • Independent variable

    Variable representing the domain value of a function (usually x).

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Logarithmic form

    An equation written with logarithms instead of exponents

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Order of an m x n matrix

    The order of an m x n matrix is m x n.

  • Phase shift

    See Sinusoid.

  • Radicand

    See Radical.

  • Random behavior

    Behavior that is determined only by the laws of probability.

  • Reflection across the x-axis

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

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Symmetric matrix

    A matrix A = [aij] with the property aij = aji for all i and j

  • Unit ratio

    See Conversion factor.

  • Weights

    See Weighted mean.

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