Given that f is a differentiable function with(2 , 5)

vousetmoiec

vousetmoiec

Answered question

2021-12-01

Given that f is a differentiable function with(2 , 5) = 6, f,(2 , 5) = 1, and J; ,(2, 5) = - 1, use a linear approximation to estimate f(2.2 , 4.9).

Answer & Explanation

Gloria Lusk

Gloria Lusk

Beginner2021-12-02Added 18 answers

Everything is given to you that you need to find the linear approximation [think tangent plane]. So plug in what you know.
z-6=1(x-2)+(-1)(y-5)
Simplify
z=x-y+9
Plug in the point you are approximating
2.2-4.9+9=6.3
Result:
f(2.2,4.9)6.3

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