Find the linear approximation L(x) of the function g(x) = V1 + x at a = 0. L(x) x Use it to approximate the numbers Vo.95 and V1.1. (Round your answers to three decimal places.) V0.95 x V1.1x

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A: linearlization of f(x) at x=a is  L(x) = f(a) + (x-a)f'a)

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Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

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A: Use the formula for the linearization of a function about any point.

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A: We have to verify the given linear approximation at a=0 and determine the values of x .

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Q: Find the critical point of the function f(x, y) = - (20x + 5y? + ln(]æ + yl)). c = Use the Second…

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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.

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Q: Use a local linear approximation to estimate the following y-values 1. f(1.2) 2. f(-2.9)

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Q: a) Consider f (x) = x³. Write the linear approximation of f for x near 2. Let's call this linear…

A: According to Bartley guidelines first question done....for remaining questions you have…

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Q: 8. (a) For f(x) = Vx, give the linearization at a = 25. (b) Use your answer from part a to approxi-…

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Q: 1. Find the linear approximation Using this linear approximation, 9.1. of f(x) x^(1/2) at x = 9.…

A: The linear approximation: L(x) for a function f(x) at x=a is defined using the formula:…

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Q: Find a function f(x) whose linearization would help me come up with an approximation to 4 26

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A: Solution of given question is written in below steps.

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

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Q: Q 6. Find the orthogonal trajectories of the functiony = x + ce, which is passing through (-2,0)

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