Find the Potential Function F for the Field F $\mathbf { F } = \sec ^ { 2 } x \sin ^ { 2 } y \mathbf { i } + 2 \tan x \sin y \cos y \mathbf { j } + 8 z ^ { 7 } \mathbf { k }$

question 231

Multiple Choice

Find the potential function f for the field F.
- $\mathbf { F } = \sec ^ { 2 } x \sin ^ { 2 } y \mathbf { i } + 2 \tan x \sin y \cos y \mathbf { j } + 8 z ^ { 7 } \mathbf { k }$

• A) \(f ( x , y , z ) = \sec x \sin ^ { 2 } y + z + C\)
• B) \(f ( x , y , z ) = \tan x \sin ^ { 2 } y + z ^ { 8 } + C\)
• C) \(f ( x , y , z ) = \sec x \sin ^ { 2 } y + z ^ { 8 } + C\)
• D) \(f ( x , y , z ) = - \sec x \sin ^ { 2 } y + z ^ { 8 } + C\)

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