# Solutions for Chapter 6.4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 6.4

Solutions for Chapter 6.4
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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. Chapter 6.4 includes 32 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 32 problems in chapter 6.4 have been answered, more than 39921 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Annuity

A sequence of equal periodic payments.

• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Compounded monthly

See Compounded k times per year.

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• First octant

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

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Inductive step

See Mathematical induction.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Mapping

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

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• PH

The measure of acidity

• Reflexive property of equality

a = a

• Sequence

See Finite sequence, Infinite sequence.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Statute mile

5280 feet.

• Sum identity

An identity involving a trigonometric function of u + v

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

• Ymax

The y-value of the top of the viewing window.

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