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S = {(x, y,z) ( x2 + y? + z? = 1 and > > 0}, oriented with an outward normal. Hence, its boundary is
S = {(x, y,z) ( x2 + y? + z? = 1 and > > 0}, oriented with an outward normal. Hence, its boundary is OS = {(x, y, 2) |x2 + y? = 1 and z = 0} with its corresponding orientation. Let F(x, y, z) = (y, 2,x). Verify Stokes' Theorem by computing the left-hand side (LHS) and the right-hand side (RHS) F . as = ( V x F) . ds. Jos S
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