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# Solutions for Chapter 1.3: Differential Equations as Mathematical Models

## Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 1.3: Differential Equations as Mathematical Models

Solutions for Chapter 1.3
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##### ISBN: 9780495108368

Chapter 1.3: Differential Equations as Mathematical Models includes 36 full step-by-step solutions. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. Since 36 problems in chapter 1.3: Differential Equations as Mathematical Models have been answered, more than 15501 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Bar chart

A rectangular graphical display of categorical data.

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Imaginary axis

See Complex plane.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Measure of center

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

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• nth root of a complex number z

A complex number v such that vn = z

• Ordinary annuity

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

• Phase shift

See Sinusoid.

• Polar axis

See Polar coordinate system.

• Pythagorean identities

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

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

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

• Sample space

Set of all possible outcomes of an experiment.

• Stem

The initial digit or digits of a number in a stemplot.

• Zero of a function

A value in the domain of a function that makes the function value zero.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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