Use the linear approximation to f ( x , y ) = <msqrt>

Zaria Salas

Zaria Salas

Answered question

2022-06-04

Use the linear approximation to f ( x , y ) = x + 5 y + 2 at ( 2 , 3 ) to estimate 7.1 4.9 .

Answer & Explanation

Colettosryni

Colettosryni

Beginner2022-06-05Added 2 answers

Use Taylor's formula
7.1 / 4.9 = f ( 2 + 0.1 , 3 0.1 ) f ( 2 , 3 ) + 0.1 f x ( 2 , 3 ) 0.1 f y ( 2 , 3 )
Of course, to use this formula you must know or be able to estimate f ( 2 , 3 ) , f x ( 2 , 3 ), f ( 2 , 3 ) , f x ( 2 , 3 ) and f y ( 2 , 3 )

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