Given f(x, y) = x³e#Y. a. Find the linearization, L(x, y), of the function at (1,0). b. Use the linearization to approximate the function at the point (1.3,0.2).

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A: We have given function  fx,y=3x+5y2+8 fx=∂fx,y∂x fx=3∂x∂x+5∂y2∂x+∂8∂x fx=3+0+0 fx=3  .........(i)…

Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 x = 5t, y = 3t t = 2 dw dt…

A: Please refer the attached image for complete solution.

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A: Please rate and feel free to ask any query about any part of the question.  Thanks

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Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 x = 2t, y = 5t t = 2 dw dt…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x2 + y2 x = 3t, y = 5t t = 2 dw dt…

A: If W is a function of x and y. Also both x and y are function of t then the derivative of W wrt t is…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) =

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Q: Find the gradient of the function f(x, y) = 3x + 5y2 + 1, at the given point      (2, 1)

A: Given equation - f(x,y) = 3x+5y2+1We can write it as - y = 3x+5y2+1Gradient is given by , dydxNow…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4)

A: To find the gradient of the function at the given point.

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Q: . Find the linearization of √ x at a = 49. Then use your linearization to approximate √ 56.

A: I am going to solve the given problem by using some simple calculus  get the required result.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4) Vf(1, 4) =

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