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# Solutions for Chapter 13.7: Calculus: Early Transcendentals 1st Edition ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 13.7

Solutions for Chapter 13.7
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##### ISBN: 9780321570567

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since 62 problems in chapter 13.7 have been answered, more than 134808 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 13.7 includes 62 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Interval

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

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Least-squares line

See Linear regression line.

• Line of symmetry

A line over which a graph is the mirror image of itself

• Line of travel

The path along which an object travels

• Multiplicative inverse of a matrix

See Inverse of a matrix

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• Open interval

An interval that does not include its endpoints.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• PH

The measure of acidity

• 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

• Position vector of the point (a, b)

The vector <a,b>.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Real number

Any number that can be written as a decimal.

• 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

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

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