Let F(x, y, z) = (ev+z – 2y)i + (xer+z + y)j+ e*+yk. (a) Find the curl of F. (b) Evaluate curl F· dS, where S is the part of the graph of e-(x²+y²) – z = 0 that lies inside the cylinder x? + y Find another surface with the same boundary as S. = 1, oriented with upward unit normal vectors. Hint:
Let F(x, y, z) = (ev+z – 2y)i + (xer+z + y)j+ e*+yk. (a) Find the curl of F. (b) Evaluate curl F· dS, where S is the part of the graph of e-(x²+y²) – z = 0 that lies inside the cylinder x? + y Find another surface with the same boundary as S. = 1, oriented with upward unit normal vectors. Hint:
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