Solve the Problem $f ( x , y , z ) = \ln ( - 7 x + 10 y + 9 z )$

question 57

Multiple Choice

Solve the problem.
-About how much will $f ( x , y , z ) = \ln ( - 7 x + 10 y + 9 z )$ change if the point $( x , y , z )$ moves from $( - 1 , - 8,3 )$ a distance of $\mathrm { ds } = \frac { 1 } { 10 }$ unit in the direction of $12 \mathbf { i } + 3 \mathbf { j } + 4 \mathbf { k }$ ?

• A) \(- \frac { 1 } { 2990 }\)
• B) \(\frac { 7 } { 1495 }\)
• C) \(\frac { 2 } { 1495 }\)
• D) \(\frac { 9 } { 2990 }\)

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