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# Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 9.1: MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION

Solutions for Chapter 9.1
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##### 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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