If ${ \vec { F } } = 5 y e ^ { x ^ { 2 } }{\vec { i } } + 4 x y e ^ { y} \vec { j } + 4 z \cos ( x y ) \vec { k }$

question 11

Multiple Choice

If ${ \vec { F } } = 5 y e ^ { x ^ { 2 } }{\vec { i } } + 4 x y e ^ { y} \vec { j } + 4 z \cos ( x y ) \vec { k }$ find $\operatorname { div } \vec { F} .$

• A) \(10 x y e ^ { x ^ { 2 } } \vec { i } + \left( 4 x e ^ { y } + 4 x y e ^ { y } \right) \vec { j } + 4 \cos ( x y ) \vec { k }\)
• B) \(10 x y e ^ { x ^ { 2 } } + 4 x e ^ { y } + 4 x y e ^ { y } - 4 \cos ( x y )\)
• C) \(10 x y e ^ { x ^ { 2 } } + 4 x y e ^ { y } + 4 \cos ( x y )\)
• D) \(10 x y e ^ { x ^ { 2 } } + 4 x e ^ { y } + 4 x y e ^ { y } + 4 \cos ( x y )\)
• E) \(5 x y e ^ { x ^ { 2 } } \vec { i } + \left( 4 x e ^ { y } + 4 x y e ^ { y } \right) \vec { j } + 4 \cos ( x y ) \vec { k }\)

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