Use the divergence theorem to calculate the surface integral, calculate the flux of F across the oriented surface S, F=(x^3+y^3)i+(y^3+z^3)j+3y^2zk, S is the surface of the solid bounded by the paraboloid z=1-x^2-y^2 and the x y plane please help me in this question

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

What function has a range {yly< 5}? question on picture above^

Harry and jay are both flying on the same plane with an airline that randomly assigns seats to passengers. of the 182 total seats on the plane, 62 are window seats, 58 are middle seats, and the rest are aisle seats. what is the approximate probability that both harry and jay will be assigned aisle seats on the same plane? a. 11.48% b. 3.3% c. 2.08% d. 26.26%