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Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Applied Calculus | 5th Edition | ISBN: 9781118174920 | Authors: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more

Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION

Solutions for Chapter 9.1
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Textbook: Applied Calculus
Edition: 5
Author: Deborah Hughes-Hallett Patti Frazer Lock Andrew M. Gleason Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, & 7 more
ISBN: 9781118174920

Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION includes 16 full step-by-step solutions. Since 16 problems in chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION have been answered, more than 21107 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions.

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

    A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

  • Arcsecant function

    See Inverse secant function.

  • Combination

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

  • Compound fraction

    A fractional expression in which the numerator or denominator may contain fractions

  • Control

    The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Horizontal line

    y = b.

  • Leaf

    The final digit of a number in a stemplot.

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Logarithmic re-expression of data

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

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • Ordinary annuity

    An annuity in which deposits are made at the same time interest is posted.

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Relevant domain

    The portion of the domain applicable to the situation being modeled.

  • Removable discontinuity at x = a

    lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

  • Sine

    The function y = sin x.

  • Summation notation

    The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

  • Vertical line test

    A test for determining whether a graph is a function.

  • Wrapping function

    The function that associates points on the unit circle with points on the real number line

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