MathProblemsBank

I.10.1 Flux of the Vector Field

\ (\ underline {\ mathrm {y} _ {\ text {Sliding:}} \) Find a vector field \ (F \) through the surface \ (s \) that limits the final volume. Check the result according to the formula of Ostrogradsky-Gauss. \ [\ begin {array} {l} f (x, y, z) = (x+z) z i+x^{2} j+(x-1) (x-z) k, \ \ left \ {\ begin {array}} x+z = 1, x = 0, y = 0, y = 0, y = 0, y = 0, y = 0, y = 0, y = 0, y = 0, y = 0, s = 0 Z = 0 \\ X+Y = 1 \ End {Array} \ Right. \ end {Array} \]

-> Flux of the Vector Field