 8.2.1: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.2: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.3: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.4: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.5: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.6: 16 (a) Set up an integral for the area of the surface obtained by r...
 8.2.7: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.8: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.9: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.10: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.11: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.12: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.13: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.14: 714 Find the exact area of the surface obtained by rotating the cur...
 8.2.15: 1518 The given curve is rotated about the yaxis. Find the area of ...
 8.2.16: 1518 The given curve is rotated about the yaxis. Find the area of ...
 8.2.17: 1518 The given curve is rotated about the yaxis. Find the area of ...
 8.2.18: 1518 The given curve is rotated about the yaxis. Find the area of ...
 8.2.19: 1922 Use Simpsons Rule with n 10 to approximate the area of the sur...
 8.2.20: 1922 Use Simpsons Rule with n 10 to approximate the area of the sur...
 8.2.21: 1922 Use Simpsons Rule with n 10 to approximate the area of the sur...
 8.2.22: 1922 Use Simpsons Rule with n 10 to approximate the area of the sur...
 8.2.23: 2324 Use either a CAS or a table of integrals to find the exact are...
 8.2.24: 2324 Use either a CAS or a table of integrals to find the exact are...
 8.2.25: 2526 Use a CAS to find the exact area of the surface obtained by ro...
 8.2.26: 2526 Use a CAS to find the exact area of the surface obtained by ro...
 8.2.27: If the region 5 hsx, yd  x > 1, 0 < y < 1yxj is rotated about the ...
 8.2.28: If the infinite curve y e2x , x > 0, is rotated about the xaxis, f...
 8.2.29: (a) If a . 0, find the area of the surface generated by rotating th...
 8.2.30: (a) If a . 0, find the area of the surface generated by rotating th...
 8.2.31: (a) The ellipse x 2 a2 1 y 2 b2 1 a . b is rotated about the xaxis...
 8.2.32: Find the surface area of the torus in Exercise 6.2.63
 8.2.33: If the curve y fsxd, a < x < b, is rotated about the horizontal lin...
 8.2.34: Use the result of Exercise 33 to set up an integral to find the are...
 8.2.35: Find the area of the surface obtained by rotating the circle x 2 1 ...
 8.2.36: (a) Show that the surface area of a zone of a sphere that lies betw...
 8.2.37: Show that if we rotate the curve y exy2 1 e2xy2 about the xaxis, t...
 8.2.38: Show that if we rotate the curve y exy2 1 e2xy2 about the xaxis, t...
 8.2.39: Formula 4 is valid only when fsxd > 0. Show that when fsxd is not n...
Solutions for Chapter 8.2: Area of a Surface of Revolution
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 8.2: Area of a Surface of Revolution
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since 39 problems in chapter 8.2: Area of a Surface of Revolution have been answered, more than 38176 students have viewed full stepbystep solutions from this chapter. Chapter 8.2: Area of a Surface of Revolution includes 39 full stepbystep solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8.

Amplitude
See Sinusoid.

Angle
Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

Compounded annually
See Compounded k times per year.

Divisor of a polynomial
See Division algorithm for polynomials.

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Focal length of a parabola
The directed distance from the vertex to the focus.

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Horizontal line
y = b.

Minute
Angle measure equal to 1/60 of a degree.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Nappe
See Right circular cone.

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Reexpression of data
A transformation of a data set.

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Third quartile
See Quartile.

Unit circle
A circle with radius 1 centered at the origin.