Solutions for Chapter 4.4: FAMILIES OF FUNCTIONS AND MODELING

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Calculus: Single and Multivariable | 6th Edition | ISBN: 9780470888612 | Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more

Solutions for Chapter 4.4: FAMILIES OF FUNCTIONS AND MODELING

Solutions for Chapter 4.4
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Textbook: Calculus: Single and Multivariable
Edition: 6
Author: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, & 8 more
ISBN: 9780470888612

This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Chapter 4.4: FAMILIES OF FUNCTIONS AND MODELING includes 64 full step-by-step solutions. Calculus: Single and Multivariable was written by Patricia and is associated to the ISBN: 9780470888612. Since 64 problems in chapter 4.4: FAMILIES OF FUNCTIONS AND MODELING have been answered, more than 13157 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
  • Acute triangle

    A triangle in which all angles measure less than 90°

  • Bearing

    Measure of the clockwise angle that the line of travel makes with due north

  • Compounded continuously

    Interest compounded using the formula A = Pert

  • Compounded k times per year

    Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

  • Cube root

    nth root, where n = 3 (see Principal nth root),

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Initial value of a function

    ƒ 0.

  • Inverse of a matrix

    The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

  • Jump discontinuity at x a

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

  • Linear regression line

    The line for which the sum of the squares of the residuals is the smallest possible

  • Logarithmic re-expression of data

    Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

  • Parameter interval

    See Parametric equations.

  • Period

    See Periodic function.

  • PH

    The measure of acidity

  • Range (in statistics)

    The difference between the greatest and least values in a data set.

  • Reflection across the x-axis

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

  • 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.

  • Scalar

    A real number.

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

  • Velocity

    A vector that specifies the motion of an object in terms of its speed and direction.

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