Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use the linear approximation to estimate the value of f(4.9, 4.1) = %3D

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A: Given function:- fx=63+x2

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A: Explanation of the answer is as follows

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Q: Find the maximum rate of change of the function f(x, y) = 5y5 at the point (2,4) (Round the answer…

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Q: Find and sketch the domain of the functions of two variables: 1. f(x, y) = = 16x² - y² x + 3y

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Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: Differentiate the function f(t) = t (11t+ 2). Answer f'(t) =

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Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

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A: We can solve this problem as follows:

Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

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Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

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Q: For the function y = f(x)- T 2. I- + 3, a 2 0.5, find df-1 (f-')'(4) = Preview

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Q: Use linearization to estimate v26. Use L(x) = f(a) + f'(a)(x – a), where f(x) = vx and a = 25. Once…

A: Linearization formula L(x)=f(a)+f'(a)(x-a)