In Problems 1-3, use Stokes's Theorem to calculate?

1. F = x2 i + y2 j z2 k; S is the hemisphere z = (1 - x2 - y2 and n is the upper normal.
2. F = xy i + yz j + xy k; S is the triangular surface with vertices (0, 0, 0), (1, 0, 0), and (0, 2, 1) and n is the upper normal.
3. F = (y + z)i + (x2 z2)j + y k; S is the half-cylinder z = (1 - x2 between y = 0 and y = 1 and n is the upper normal?

Transcribed Image Text:

(curl F) n ds