Surface Area Problem: Rotating y=x^4/16+1/2x^2 About Y-Axis

temaire
Messages
275
Reaction score
0
Homework Statement
Find the surface area obtained by rotating the curve y = \frac{x^4}{16} + \frac{1}{2x^2} 1 < x < 2 about the y-axis.



The attempt at a solution
http://img341.imageshack.us/img341/3245/mathy.jpg

My final answer is \frac{41\pi}{10}. Is this correct?
 
Last edited by a moderator:
Physics news on Phys.org
Seems right to me.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Find the dimensions that will minimize the surface area of a Rectangle
Replies
1
Views
1K
Area of loop in x-y plane
Replies
20
Views
2K
Calculating Area Under a Curve Using Change of Variables and Quotient Rule
Replies
5
Views
2K
Surface Area of y=sin^2(x)+x^2 from 0 to 1 about x axis
Replies
1
Views
2K
Area surface of revolution (rotating this astroid curve around the x-axis)
Replies
2
Views
1K
Center of mass of spherical shell inside of cone (Apostol Problem).
Replies
3
Views
2K
Minimal surface area for a fixed volume
Replies
5
Views
2K
Surface Area rotated about an axis which is not the x or y axis
Replies
11
Views
3K
What is the surface area when a curve is rotated about the x-axis?
Replies
3
Views
2K
Calculating radius of gyration of plane figure about x-axis
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top