aftershock
Nov25-11, 08:22 PM
SECOND EDIT: Never mind I think I figured it out. My problem was assuming the shape was a square. It was a rhombus. Thanks anyways guys
This isn't a homework problem, just something I was thinking of. Let's say I have the plane z= x+y and I wanna find the area of the region from 0≤x≤2 and 0≤y≤2
∫∫√[(1+(f_{x})2 + (f_{y})2] dA
(the f subscripts are partial derivatives)
Would give me an answer of 4√3
But just using geometry I think the portion of the plane would just be a square with sides of √8
giving me an answer of 8.
Where'd I go wrong?
EDIT: I realized this probably belongs in another section, but as far as I can tell I can't delete this thread, so please feel free to move it if its not appropriate here.
This isn't a homework problem, just something I was thinking of. Let's say I have the plane z= x+y and I wanna find the area of the region from 0≤x≤2 and 0≤y≤2
∫∫√[(1+(f_{x})2 + (f_{y})2] dA
(the f subscripts are partial derivatives)
Would give me an answer of 4√3
But just using geometry I think the portion of the plane would just be a square with sides of √8
giving me an answer of 8.
Where'd I go wrong?
EDIT: I realized this probably belongs in another section, but as far as I can tell I can't delete this thread, so please feel free to move it if its not appropriate here.