I need solutions to these calculus past questions

Verify Stokes' theorem F . dr = V X F . nds where F = (yz, -xz, xy), S is the part of the surface = = 2 + y' that lies within the cylinder a + y = 1, with the upward orientation, and C is the boundary of S. That is, calculate, in this special case, the line integral on the left side, calculate the flux on the right side, and observe those are the same numbers.Let F be the vector field F = (2y4yz+2y32 +62? 423 22+:c,2(z 1)1|1(:I:_1,.r)l3,'2,[g,rzz2 +22: Mfg) , and let R be the region bounded by z = $2 + y2 and z = 1. The surface of this region has a horizontal diskfor a top part. The bottom ofthe surface is the same surface as Question 1 but that coincidence is not relevant in this problem. Using the divergence theorem, and the upward flux through the top part, calculate the upward flux though the bottom part. Remark: a direct calculation ofthe upward flux through the bottom part of the surface is not recommended