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 3492 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by Sieva Kozinsky 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
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    Interest that becomes part of the investment

  • Damping factor

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  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Equivalent arrows

    Arrows that have the same magnitude and direction.

  • Equivalent systems of equations

    Systems of equations that have the same solution.

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Factor

    In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

  • Law of sines

    sin A a = sin B b = sin C c

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Natural exponential function

    The function ƒ1x2 = ex.

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  • Order of an m x n matrix

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

  • Pascal’s triangle

    A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

  • Reference angle

    See Reference triangle

  • Repeated zeros

    Zeros of multiplicity ? 2 (see Multiplicity).

  • Symmetric difference quotient of ƒ at a

    ƒ(x + h) - ƒ(x - h) 2h

  • Terminal side of an angle

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  • Variable (in statistics)

    A characteristic of individuals that is being identified or measured.

  • Zero of a function

    A value in the domain of a function that makes the function value zero.

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