Calculate :
: (x, y, 2z - x - y)
S: y - z = 0
y + z = 0
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The answer is 0 (zero), so i'm wondering if there is a trick to solve this problem.
If not, I know how to aplly the definition to solve it.
The surface looks like a right triangular prism. If the double integral is zero it means that the total flux of the vector field through this surface is zero. It's not obvious from the expression for why this should be the case and so you're going to have to do the calculation.
So these are two separate planes? And there is no bound on x?
On the first, y= z so we can write
On that plane,
Since there are no bounds on x, that integral does not exist.
__________________________
The answer is 0 (zero), so i'm wondering if there is a trick to solve this problem.
If not, I know how to aplly the definition to solve it.