The discussion focuses on applying Stokes' Theorem to compute the line integral of the vector field F(x,y,z) = (-z², y², x²) over the curve C, defined by the intersection of the plane -y + z = 0 and the paraboloid z = x² + y². Participants noted the importance of correctly calculating the curl of the vector field and suggested using the plane for easier computation. The confusion around the expression '-2x-2xj' was clarified, emphasizing the need for accurate notation in vector calculus.
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berm said:Homework Statement
Use stoke's theorem to calculate integral of F dot dr over C where F(x,y,z) = (-Z^2,y^2,x^2) and C is the curve of intersection of the place -y+z=0 and the parabloid z=x^2+y^2
Homework Equations
The Attempt at a Solution
found the curl of -2x-2xj, but coudlnt figure out how to calculate the integral