Solve the Problem $f ( x , y , z ) = 2 x - 4 y + 10 z$

question 25

Multiple Choice

Solve the problem.
-About how much will $f ( x , y , z ) = 2 x - 4 y + 10 z$ change if the point $( x , y , z )$ moves from $( 10 , - 7,10 )$ a distance of $\mathrm { ds } = \frac { 1 } { 10 }$ unit in the direction $2 \mathbf { i } - 3 \mathbf { j } + 6 \mathbf { k }$ ?

• A) \(\frac { 36 } { 35 }\)
• B) \(\frac { 38 } { 35 }\)
• C) \(\frac { 8 } { 7 }\)
• D) \(\frac { 6 } { 5 }\)

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