1. The problem statement, all variables and given/known data verify Stokes theorem for the given Surface and VECTOR FIELD x2 + y2+z2=4, z≤0 oriented by a downward normal. F=(2y-z)i+(x+y2-z)j+(4y-3x)k 2. Relevant equations ∫∫S Δ χ F dS=∫ ∂SF.ds the triangle is supposed to be upside down. 3. The attempt at a solution myΔχF = 3i +2j-1k my N i got 2Xi + 2Yj and since Z≤0 I'm not so sure what to next ∫∫(6X+4Y)dxdy in the example in the book it said something on a similar exercise that by the symter og D and that fact that 6x and 4y are odd functions are odd functions we have the double integral = 0 is it correct and permanant to go with that fact because I also got 0 on the right hand side. ?