Use Stokes' Theorem to evaluate ∫∫ curl F · dS. F(x, y, z) = x² sin(z)i + y²j + xyk, S is the part of the paraboloid z = 9 − x² − y² that lies above the xy-plane, oriented upward. (This question was answered on this site before, but the explanation wasn't thorough enough.)

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.