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Solutions for Chapter 3: Applications of Differentiation

Essential Calculus | 2nd Edition | ISBN: 9781133112297 | Authors: James Stewart

Full solutions for Essential Calculus | 2nd Edition

ISBN: 9781133112297

Essential Calculus | 2nd Edition | ISBN: 9781133112297 | Authors: James Stewart

Solutions for Chapter 3: Applications of Differentiation

Solutions for Chapter 3
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Textbook: Essential Calculus
Edition: 2
Author: James Stewart
ISBN: 9781133112297

Summary of Chapter 3: Applications of Differentiation

Many practical problems require us to minimize a cost or maximize an area or somehow find the best possible outcome of a situation. In particular, we will be able to investigate the optimal shape of a can and to explain the shape of cells in beehives.

Since 50 problems in chapter 3: Applications of Differentiation have been answered, more than 26581 students have viewed full step-by-step solutions from this chapter. Essential Calculus was written by and is associated to the ISBN: 9781133112297. Chapter 3: Applications of Differentiation includes 50 full step-by-step solutions. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Algebraic model

    An equation that relates variable quantities associated with phenomena being studied

  • Combination

    An arrangement of elements of a set, in which order is not important

  • Equation

    A statement of equality between two expressions.

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • kth term of a sequence

    The kth expression in the sequence

  • Linear inequality in two variables x and y

    An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

  • Logarithmic regression

    See Natural logarithmic regression

  • Minor axis

    The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

  • Modified boxplot

    A boxplot with the outliers removed.

  • Negative association

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

  • Pseudo-random numbers

    Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

  • Pythagorean identities

    sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

  • Random behavior

    Behavior that is determined only by the laws of probability.

  • Real axis

    See Complex plane.

  • Solve by substitution

    Method for solving systems of linear equations.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Unbounded interval

    An interval that extends to -? or ? (or both).

  • Union of two sets A and B

    The set of all elements that belong to A or B or both.

  • Vertices of a hyperbola

    The points where a hyperbola intersects the line containing its foci.

  • Zero factorial

    See n factorial.