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# Solutions for Chapter 9.3: SLOPE FIELDS

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 9.3: SLOPE FIELDS

Solutions for Chapter 9.3
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##### ISBN: 9781118174920

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 17 problems in chapter 9.3: SLOPE FIELDS have been answered, more than 7018 students have viewed full step-by-step solutions from this chapter. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Chapter 9.3: SLOPE FIELDS includes 17 full step-by-step solutions.

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

See Inverse secant function.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Common logarithm

A logarithm with base 10.

• Coordinate plane

See Cartesian coordinate system.

• Cosine

The function y = cos x

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Inverse cosecant function

The function y = csc-1 x

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Positive numbers

Real numbers shown to the right of the origin on a number line.

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

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