 6.4.22E: Finding Surface Area yaxis (Hint: Express in terms of dx, and eval...
 6.4.23E: Finding Surface Area xaxis (Hint: Express in terms of dy, and eval...
 6.4.24E: Finding Surface AreaWrite an integral for the area of the surface g...
 6.4.28E: Finding Surface AreaSlicing bread Did you know that if you cut a sp...
 6.4.29E: Finding Surface AreaThe shaded band shown here is cut from a sphere...
 6.4.30E: Finding Surface AreaHere is a schematic drawing of the 90ft dome u...
 6.4.7E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.8E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.9E: Finding Surface AreaFind the lateral (side) surface area of the con...
 6.4.21E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.13E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.14E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.15E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.27E: Finding Surface AreaEnameling woks Your company decided to put out ...
 6.4.31E: Finding Surface AreaAn alternative derivation of the surface area f...
 6.4.32E: Finding Surface AreaThe surface of an astroid Find the area of the ...
 6.4.1E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.2E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.3E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.4E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.5E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.6E: Finding Integrals for Surface Areaa. Set up an integral for the are...
 6.4.10E: Finding Surface AreaFind the lateral surface area of the cone gener...
 6.4.11E: Finding Surface AreaFind the surface area of the cone frustum gener...
 6.4.12E: Finding Surface AreaFind the surface area of the cone frustum gener...
 6.4.16E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.17E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.18E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.19E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.20E: Finding Surface AreaFind the areas of the surfaces generated by rev...
 6.4.25E: Finding Surface AreaTesting the new definition Show that the surfac...
 6.4.26E: Finding Surface AreaTesting the new definition The lateral (side) s...
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
Get Full SolutionsThomas' 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 stepbystep 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 stepbystep solutions from this chapter.

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 yvalue of the top of the viewing window.
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