Using the Divergence Theorem, Find the Outward Flux of F $F = \sin y i + x z j + 5 z k$

question 52

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $F = \sin y i + x z j + 5 z k$ ; D: the thick sphere $4 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 9$

• A) \(135 \pi\)
• B) \(\frac { 76 } { 3 } \pi\)
• C) \(380 \pi\)
• D) \(\frac { 380 } { 3 } \pi\)

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