find the field's F flow where F = (y,-z,2) through the surface S where S is 4x+2y+z=6 and x,y,z>=0
The Attempt at a Solution
we know that
we know F
N is the derivative of 4x+2y+z-6 = g(x)
actually it's N = (dg/dx,dg/dy,dg/dz)
now what i want to ask is how to find the limits of the integral i mean from what point to what point i should integrate
what I can think of is because x,y,z are bigger than 0 hence they are possitive
we will have the same points for dy and dx which will be from 0 to +oo
so can i just say
find the integral and then take the limit using xn -> oo and yn -> oo?
thanks in advance
edit: but i have a z, what am i going to do with z?
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