# Solutions for Chapter 1.6: Thomas' Calculus: Early Transcendentals 13th Edition

## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 1.6

Solutions for Chapter 1.6
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##### ISBN: 9780321884077

Since 84 problems in chapter 1.6 have been answered, more than 35219 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Chapter 1.6 includes 84 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Closed interval

An interval that includes its endpoints

• Common difference

See Arithmetic sequence.

• Constant of variation

See Power function.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Determinant

A number that is associated with a square matrix

• Future value of an annuity

The net amount of money returned from an annuity.

• Geometric series

A series whose terms form a geometric sequence.

• Octants

The eight regions of space determined by the coordinate planes.

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Random behavior

Behavior that is determined only by the laws of probability.

• Rational zeros theorem

A procedure for finding the possible rational zeros of a polynomial.

• Re-expression of data

A transformation of a data set.

• Rose curve

A graph of a polar equation or r = a cos nu.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Slant line

A line that is neither horizontal nor vertical

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• 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.

• Whole numbers

The numbers 0, 1, 2, 3, ... .

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