Find the Linearization of the Function at the Given Point $f ( x , y ) = 3 \sin x - 8 \cos y$

question 134

Multiple Choice

Find the linearization of the function at the given point.
- $f ( x , y ) = 3 \sin x - 8 \cos y$ at $\left( 0 , \frac { \pi } { 2 } \right)$

• A) \(L ( x , y ) = - 3 x + 8 y - 4 \pi\)
• B) \(L ( x , y ) = - 3 x - 8 y - 4 \pi\)
• C) \(L ( x , y ) = 3 x - 8 y - 4 \pi\)
• D) \(\mathrm { L } ( \mathrm { x } , \mathrm { y } ) = 3 \mathrm { x } + 8 \mathrm { y } - 4 \pi\)

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