The discussion revolves around evaluating a surface integral defined over a parallelogram with specific parametric equations. The function to be integrated is f(x,y,z) = x + y + z, and the parameters u and v are constrained within given limits.
There is an ongoing exploration of the correct approach to the problem, with some participants providing guidance on the formulation of the integral. Discrepancies in the calculation of the determinant's magnitude have been noted, indicating a divergence in understanding that is still being addressed.
Participants are working within the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an emphasis on clarifying definitions and ensuring accurate calculations throughout the discussion.
bugatti79 said:Homework Statement
Evlute the surface integral
Homework Equations
f(x,y,z)=x+y+z where sigma is the parallelogram with parametric equations x=u+v, y=u-v and z=1+2u+v where 0 <=u<=2 and 0<=v<=1.
The Attempt at a Solution
I have no idea how to tackle this. Any suggestions?
LCKurtz said:You might begin by studying the material at:
http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegrals.aspx
LCKurtz said:I agree with everything except the ##\sqrt 2##.
bugatti79 said:since we have the determinant as 3i+1j-2k and the magnitude is
[itex]\sqrt(3^2+(-2^2)+1)=\sqrt 14[/itex] cheers