Evaluate the Work Done Between Point 1 and Point 2

question 62

Multiple Choice

Evaluate the work done between point 1 and point 2 for the conservative field F.
- $$\mathbf { F } = 16 x e ^ { 8 x ^ { 2 } - 9 y ^ { 2 } - 2 z ^ { 2 } } \mathbf { i } - 18 y e ^ { 8 x ^ { 2 } - 9 y ^ { 2 } - 2 z ^ { 2 } } \mathbf { j } - 4 z e ^ { 8 x ^ { 2 } - 9 y ^ { 2 } - 2 z ^ { 2 } } \mathbf { k } ; P _ { 1 } ( 0,0,0 ) , P _ { 2 } ( 1,1,1 )$$

• A) \(W = 0\)
• B) \(W = \mathrm { e } ^ { 8 } + \mathrm { e } ^ { - 9 } + \mathrm { e } ^ { - 2 } - 1\)
• C) \(W = e ^ { - 3 } - 1\)
• D) \(W = e ^ { - 3 }\)

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