Suppose That Over a Certain Region of Space the Electrical $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$

question 131

Multiple Choice

Suppose that over a certain region of space the electrical potential V is given by $V ( x , y , z ) = 8 x ^ { 2 } - 7 x y + 7 x y z$ . Find the rate of change of the potential at $( - 1,1 , - 1 )$ in the direction of the vector $\mathbf { v } = 8 \mathbf { i } + 10 \mathbf { j } - 8 \mathbf { k }$ .

• A) \(- 15.099\)
• B) 44
• C) -2.91
• D) 20
• E) \(\text { 14. } 569856\)

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