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gnatopoditw 2022-06-24 Answered
f ( x , y ) = ( 7 + 2 x y )Find the linear approximation at ( 3 , 1 )
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Answers (2)

Schetterai
Answered 2022-06-25 Author has 25 answers
make a change of variable x = 3 + h , y = 1 + k .. then
z = ( 7 + 2 ( 3 + h ) ( 1 + k ) ) 1 / 2 = ( 1 2 h + 6 k + ) 1 / 2 = 1 + 1 2 ( 2 h + 6 k ) + = 1 h + 3 k +
the planar approximation of z at ( 3 , 1 ) is z = 1 ( x 3 ) + 3 ( y + 1 ) .
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Devin Anderson
Answered 2022-06-26 Author has 6 answers
Use
L ( x ) f ( 3 , 1 ) = ( x 3 ) + 3 ( y ( 1 ) ) = 3 x + 3 y + 3.
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