 6.5.1: If f is a smooth, nonnegative function on [a,b], then thesurface ar...
 6.5.2: The lateral area of the frustum with slant height 10 andbase radii ...
 6.5.3: An integral expression for the area of the surface generatedby rota...
 6.5.4: An integral expression for the area of the surface generatedby rota...
 6.5.5: 58 Find the area of the surface generated by revolving thegiven cur...
 6.5.6: 58 Find the area of the surface generated by revolving thegiven cur...
 6.5.7: 58 Find the area of the surface generated by revolving thegiven cur...
 6.5.8: 58 Find the area of the surface generated by revolving thegiven cur...
 6.5.9: 912 Use a CAS to find the exact area of the surface generatedby rev...
 6.5.10: 912 Use a CAS to find the exact area of the surface generatedby rev...
 6.5.11: 912 Use a CAS to find the exact area of the surface generatedby rev...
 6.5.12: 912 Use a CAS to find the exact area of the surface generatedby rev...
 6.5.13: 1316 Use a CAS or a calculating utility with a numerical integratio...
 6.5.14: 1316 Use a CAS or a calculating utility with a numerical integratio...
 6.5.15: 1316 Use a CAS or a calculating utility with a numerical integratio...
 6.5.16: 1316 Use a CAS or a calculating utility with a numerical integratio...
 6.5.17: 1720 TrueFalse Determine whether the statement is true orfalse. Exp...
 6.5.18: 1720 TrueFalse Determine whether the statement is true orfalse. Exp...
 6.5.19: 1720 TrueFalse Determine whether the statement is true orfalse. Exp...
 6.5.20: 1720 TrueFalse Determine whether the statement is true orfalse. Exp...
 6.5.21: 2122 Approximate the area of the surface using Formula (2)with n = ...
 6.5.22: 2122 Approximate the area of the surface using Formula (2)with n = ...
 6.5.23: Assume that y = f(x) is a smooth curve on the interval[a,b] and ass...
 6.5.24: Would it be circular reasoning to use Definition 6.5.2to find the s...
 6.5.25: Show that the area of the surface of a sphere of radius r is4r2. [H...
 6.5.26: The accompanying figure shows a spherical cap of heighth cut from a...
 6.5.27: The portion of a sphere that is cut by two parallel planes iscalled...
 6.5.28: Let y = f(x) be a smooth curve on the interval [a,b] andassume that...
 6.5.29: Use the results of Exercise 28 above and Exercise 21 inSection 6.4 ...
 6.5.30: Let y = f(x) be a smooth curve on [a,b] and assume thatf(x) 0 for a...
 6.5.31: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.32: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.33: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.34: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.35: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.36: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.37: 3137 These exercises assume familiarity with the basic conceptsof p...
 6.5.38: Writing Compare the derivation of Definition 6.5.2 withthat of Defi...
 6.5.39: Writing Discuss what goes wrong if we replace the frustumsof right ...
Solutions for Chapter 6.5: AREA OF A SURFACE OF REVOLUTION
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 6.5: AREA OF A SURFACE OF REVOLUTION
Get Full SolutionsSince 39 problems in chapter 6.5: AREA OF A SURFACE OF REVOLUTION have been answered, more than 41883 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 6.5: AREA OF A SURFACE OF REVOLUTION includes 39 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions.

Addition property of inequality
If u < v , then u + w < v + w

Arcsine function
See Inverse sine function.

Binomial coefficients
The numbers in Pascalâ€™s triangle: nCr = anrb = n!r!1n  r2!

Combination
An arrangement of elements of a set, in which order is not important

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

Direction vector for a line
A vector in the direction of a line in threedimensional space

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Hypotenuse
Side opposite the right angle in a right triangle.

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

Measure of an angle
The number of degrees or radians in an angle

Modified boxplot
A boxplot with the outliers removed.

Outcomes
The various possible results of an experiment.

Perpendicular lines
Two lines that are at right angles to each other

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Remainder polynomial
See Division algorithm for polynomials.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.