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# Solutions for Chapter 9.1: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 9.1

Solutions for Chapter 9.1
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##### ISBN: 9780321747730

Since 13 problems in chapter 9.1 have been answered, more than 36939 students have viewed full step-by-step solutions from this chapter. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.1 includes 13 full step-by-step solutions.

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

See Inverse tangent function.

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Divergence

A sequence or series diverges if it does not converge

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• Geometric series

A series whose terms form a geometric sequence.

• Horizontal line

y = b.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Index

• Instantaneous velocity

The instantaneous rate of change of a position function with respect to time, p. 737.

• Interquartile range

The difference between the third quartile and the first quartile.

• Logarithmic regression

See Natural logarithmic regression

• Octants

The eight regions of space determined by the coordinate planes.

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Parametric curve

The graph of parametric equations.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Vertices of an ellipse

The points where the ellipse intersects its focal axis.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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