Evaluate the integral // (vxF) dS, where S is the portion of the surface of a sphere defined by x² + y² + z² = 1 and x + y + z ≤ 1, and where F = rx (i + j + k), r = 4xi + 4yj + 4zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.) [[(x) · ds dS =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Evaluate the integral // (V x F) dS, where S is the portion of the surface of a sphere defined by x² + y² + z² = 1 and
x+y + z ≤ 1, and where F = r X (i + j + k), r = 4xi + 4yj +4zk.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
//(XF).
(vx F). dS=
Transcribed Image Text:Evaluate the integral // (V x F) dS, where S is the portion of the surface of a sphere defined by x² + y² + z² = 1 and x+y + z ≤ 1, and where F = r X (i + j + k), r = 4xi + 4yj +4zk. (Express numbers in exact form. Use symbolic notation and fractions where needed.) //(XF). (vx F). dS=
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