Multivariable Calculus Double Integration Problem

methstudent
Messages
5
Reaction score
0
1. Find the volume of the region above the triangle in the xy-plane with vertices (0,0) (1,0) (0,1) and below the surface z =f(x,y)=6xy(1-x-y)

My attempt is attached
 

Attachments

  • mathsss.jpg
    mathsss.jpg
    23 KB · Views: 461
Physics news on Phys.org
You might want to check your addition of the fractions at the end of the calculation.
 
  • Like
Likes 1 person
yeah, I accidentally put an extra zero on the 20. thanks!
 
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...

Similar threads

Replies
11
Views
1K
Replies
4
Views
1K
Replies
10
Views
3K
Replies
2
Views
2K
Replies
5
Views
2K
Replies
5
Views
2K
Replies
10
Views
2K
Back
Top