Find the Potential Function F for the Field F $$\mathbf { F } = \left( \mathrm { e } ^ { 2 } - \sin \mathrm { x } \right) \mathbf { i } + 2 x y \mathrm { e } ^ { 2 } \mathbf { j } + \mathbf { k }$$

question 101

Multiple Choice

Find the potential function f for the field F.
- $$\mathbf { F } = \left( \mathrm { e } ^ { 2 } - \sin \mathrm { x } \right) \mathbf { i } + 2 x y \mathrm { e } ^ { 2 } \mathbf { j } + \mathbf { k }$$

• A) \(f ( x , y , z ) = \cos x + x z y ^ { 2 } + C\)
• B) \(f ( x , y , z ) = \cos x + e ^ { 2 } + z + C\)
• C) \(f ( x , y , z ) = \cos x + x e ^ { 2 } + z + C\)
• D) \(f ( x , y , z ) = \cos x + e ^ { 2 } ( x + z ) + C\)

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