Find the linear approximation of the function below at the indicated point. f(x, y) = In(x – 4y) at (9, 2) f(x, y) × Use the approximation to find f(8.95, 2.09). (Round your answer to three decimal places.) f(8.95, 2.09) 2 Illustrate by graphing f and the tangent plane. -5 -10 10 15 10 10 Z 5 -- -2 2 4 y -5 -10 5 0 15 10 20 10 10 Z O -5 -10 10 -10 10

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A: Given: f(x,y) = 8y/√x  Point: ( 9 , -8)

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A: Here is the solution of the given problem. Linear Approximation:

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A: topic - linearization of a function

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A: Near 0,

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A: We will find out the required solution.

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A: linearization of f(x,y) at (a,b) isL(x,y)=f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b)....(1)

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A: on solving this we get

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A: Question is solved.

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A: This question can be solved using the concept of linear approximation of a function about a point.