Find the Potential Function F for the Field F A) $f ( x , y , z ) = x ^ { 24 } y ^ { 27 } z ^ { 9 } + C$

question 8

Multiple Choice

Find the potential function f for the field F.
- $$\mathrm { F } = 8 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 9 } \mathrm { z } ^ { 3 } \mathbf { i } + 9 \mathrm { x } ^ { 8 } \mathrm { y } ^ { 8 } \mathrm { z } ^ { 3 } \mathbf { j } + 3 \mathrm { x } ^ { 8 } \mathrm { y } ^ { 9 } \mathrm { z } ^ { 2 } \mathbf { k }$$

• A) \(f ( x , y , z ) = x ^ { 24 } y ^ { 27 } z ^ { 9 } + C\)
• B) \(f ( x , y , z ) = x ^ { 8 } y ^ { 9 } z ^ { 3 } + 9 x ^ { 8 } y ^ { 8 } z ^ { 3 } + 3 x ^ { 8 } y ^ { 9 } z ^ { 2 } + C\)
• C) \(f ( x , y , z ) = x ^ { 8 } y ^ { 9 } z ^ { 3 } + C\)
• D) \(f ( x , y , z ) = \frac { x ^ { 8 } y ^ { 9 } z ^ { 3 } } { 216 }\)

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