I. 10.19 Flux of the Vector Field

\ (\ underline {\ text {Condition:}} \) Calculate the field of the field \ (\ vec {f} \) through the closed surface \ (s \) directly and according to the Gaussa-Ostrograd (normal external): \ [\ Vec} = b x \ Vec {\ IMath}+C Y \ Vec {\ JMath}+Z \ VEC {K}, \ Quad S: \ Left \ {\ Begin {Array} {C} (A-Z) {2} = X LEAR+Y L^{2} L^ \\ z = 0, (z \ leq 0 \ leq a) \ end {array} \ right. \] \ [a = 6, b = -1, C = 1 \]