Find the linear approximation of the function at the given point. f(x y) = 4x²y3 at (-9,7) O A. L(x, y) = -2744x - 47,628y+ 444,528 O B. L(x, y) = 24,6%x + 5292 y + 444,528 O C. L(x, y) = 24,6%x - 47,628y+ 444,528 O D. L(x, y) = -2744x+ 5292 y + 444,528

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A: Topic = Functions

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A: since you have asked multiple question, we will solve the first question for you.If you want any…

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A: A detailed solution is given below.

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A: Consider the given information. fx=x3,a=-8 The linearization of the function is defined as,…

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A: Given: f(x)=x2, x=1 To find: Linear approximation at given point.

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Q: Find the linearization L(x) of the function at a. f(x) = Vx, a = 25 L(x) =

A: The solution of the problem is given in the next step.

Q: The local linear approximation of (1- x)2° at x, = 0 is a) 20 - x c) 20 +x b) 1- 20x d) 1+ 20x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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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 the linear approximation of the function at the given point. f(x, y) = -4x²y³ at (-9,7) O A.…

A: In this question we have to find linear approximation of the given function.

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A: Answer is in next step.

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A: We can find the linearization as below.

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Q: Q.8 Find the gradient Vw ofthe function w = In /x² + y² + z². %3D

A: Given function W=ln(√(x2+y2+z2)) Now we will find the gradient as shown below

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A: Solution of given problem is given as:

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

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A: I have appended the formula used in the solution part

Q: Find the linearization L(x) of the function at a. f(x) = e5x, a = 0 %3D L(x) 1 + 5x

A: f(x)=e5x point a=0

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

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Q: Find the linearization L(x) of the function at a. f(x) = Vx, a = 16

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