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Solutions for Chapter 4: Applications of Derivatives

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 4: Applications of Derivatives

Solutions for Chapter 4
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Textbook: Thomas' Calculus Early Transcendentals
Edition: 12
Author: George B. Thomas
ISBN: 9780321588760

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4: Applications of Derivatives includes 136 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. Since 136 problems in chapter 4: Applications of Derivatives have been answered, more than 2077 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
  • Absolute maximum

    A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

  • Addition principle of probability.

    P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

  • Addition property of inequality

    If u < v , then u + w < v + w

  • Coordinate plane

    See Cartesian coordinate system.

  • Directed distance

    See Polar coordinates.

  • Half-life

    The amount of time required for half of a radioactive substance to decay.

  • Invertible linear system

    A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

  • Linear function

    A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

  • Linear programming problem

    A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

  • Measure of center

    A measure of the typical, middle, or average value for a data set

  • Negative association

    A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Piecewise-defined function

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

  • Radian

    The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Sample standard deviation

    The standard deviation computed using only a sample of the entire population.

  • Singular matrix

    A square matrix with zero determinant

  • Square matrix

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

  • x-coordinate

    The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

  • Zero vector

    The vector <0,0> or <0,0,0>.

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