Find the net flux of the curl of the vector field F(x, y, z) = (y², z², x²) over the open surface defined by z = y? + x², where y > 0 and z < 1, with an upward pointing normal. Select one: O a. None of these ОБ. -1/3 O c. -1 O d. -4/3 O e. 0

Show that if F = xi+yj + zk, then VXF=0. The curl of a vector field F = Mi+Nj + Pk is as follows. ap ƏN ?M ap dy dz dz ?x Use the formula above to find the curl of F=xi+yj + zk. curl F = VXF= VxF = V x (xi+yj+zk) dz dy = - i+ dy dz = i+ İ+ dx dz dz ?x + k j+ dy ax ?x ду ƏN ax k ƏM ду

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