# Calculate ∇ × F dS of the union of two surfaces

FratBro23
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Mathematics
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Question description

1. Let S be the union of two smooth surfaces S1 and S2, where
S1: x2+y2=9, 0≤z≤8

S2 : x2 +y2 +(z−8)2 =9, 8≤z
∇ × F dS, where F = (x3 + xz + yz2)i + (xyz3 + y7)j + x2z5k.

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