Find the linear approximation L(x) of the function g(x)=  ∛(2+x ) at a = 0 and use it to approximate  ∛2.2 ,  ∛0.65

Q: Calculate the linearization L of f(x) : 5e* at x = 1. x2 Express your answer in terms of e and x.

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Q: 2. Determine whether the functions f1(x) = e2", f2(x) = e=2#, and f3(x) = sinh 2x are linearly…

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Q: Find the linearization L(x) to the function f(x)= Vx+4 at x =4, then use the linearization to…

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

Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96,…

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Q: Find the linearization L(x) of the function at a. f(x) = Væ, a = -8 L(x) =

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

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

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Q: 3. Find the linearization L(x) of the function at a. F(x) = Vx, a = 4

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

Q: Find the linearization of the function given below at the specified point. f(x) 4 In(x) at a = 1…

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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: Find the local linear approximation L (x)of the function f (x)= x² +3 at x = 1

A: Given that: f(x)=x2+3

Q: Determine the linear approximation for 2√x at x = 5. Use the linear approximation to approximate the…

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Q: YouTrylt 2 Find the linear approximation of the function f(x,y) =In(x- 3y) (7,2) at and use it to…

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

Q: Find the linearization of the function given below at the specified point. f(x) 2 In(x) at a = 1…

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

A: Given,

Q: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: The objective is to find the linear approximation to hx=x4  at  x=2 Use the linear approximation to…

Q: Find the linear approximation to f(x) = 1 and then use that to approximate close to 1.003 1 1.003

A: Given: The function fx=1x To find: The linear approximation to fx=1x close to 11.003, then…

Q: Eliminate the arbitrary constants a. x = -In t, y = at + bt?

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Q: Find the linear approximation of f(x) = (5 + x)n at x = 0. Use the approximation to estimate the…

A: fx=5+xn at x=0. Differentiating with respect to x, we get f'x=n5+xn-1 Now, f0=5+0n=5n &…

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a 6

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Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = e−2x ,…

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Q: (4) Let f(x, y) = e-y. Find the linearization of f at an appropriate point and use it to…

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Q: Find the best linear approximation, g, to f on the interval [0, 1]. (x) = 2/x g(x) %3D

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Q: Find the linearization L(x) of the function at a. f(æ) = VT, a = -8 L(x) = %3D

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Q: Find the linearization L(æ) of the function at a. f(z) = V7, a = -8 L(x)

A: We can find the linearization as below.

Q: Find the linearization of the function f (x) = x° at x =1. L (x) Using this linearlization, f…

A: To find the linearization of the following function

Q: (3) (a) Find the local linear approximation of f(x) = /1+x at xo = 0. Use your approxima- tion…

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

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Q: Find a multivariable function f(x, t) that satisfies the Black-Scholes equation: ft = f - xfx -…

A: f(x,t)=etlog(x) satisfies Black-Scholes equation: ft = f - xfx - x2fxx

Q: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: Linear approximation of a function f(x) at x = a is, fx=fa+x-af'a

Q: Find the linearization L(x) of the function at a. f(x) = cos(x), a = 3n/2 %3D

A: We have to find the linearization L(x) of the given function.

Q: Use a local linear approximation to estimate the following y-values 1. f(3.1) 2. f(-0.1) 3. f(1.2)

A: The linear approximation formula is: L(x)=f(a)+f'(a)(x-a)   For f(3.1), x=3.1 and a=3 So the linear…

Q: Find the linearization L(x) of the function at a. f(x) = Va, a = -8 L(x) =

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Q: Find the linear approximation L(x)of f(x)=x^4 at the point a = −5 L(x)=

A: Given that f(x) = x4 We have to find the linear approximation L(x) of f(x)=x4 at the point a= -5.

Q: 3. Find a linear approximation to the function at the point x = 3. y = f(x) = x²e + 8x

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Q: 7 For the function eX, the linear approximation around x = 2 is %3D

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = 3 L(x)

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

A: Explanation: The Linear Approximation should be a line that can substitute (in a narrow interval)…

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:…

Q: Find the linearization L(x) of the function at a. f(x)= sin(x), a= π\4

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Q: Find the linearization L(x) of the function at a. п f(x) = sin(x), a = 6 L(x) =

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Q: 3. Let g(x) = V10- cos(x) +3x. %3D 3.1. Find g'(x). 3.2. Find the linear approximation to g(x) at x…

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Q: Find the linear approximation at x=0 to √17−x. Write your answer in the form y=Ax+B.

A: we have f(x)=17-xDifferentiating both side w.r.t "x"f'(x)=-1217-x-12f'(x)=-1217-xput x=0f'(0)=-1217…

Q: 4. Find the linearization L of the function f(x)=Vx+3 at a = 1 and use it to approximate f(x) =…

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

A: We want to find the function,  It's form is ,L(x) = f(a) + f'(a) (x-a)  We approximate 4/26 ~ 4/25…

Q: Find the linear approximation of f(x)=(1+x)3 at x=0. Using this approximation to estimate (1.01)3…

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Q: Find L(x) (Linearization function), given f(x) = ev2x at the value a = 2.

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Q: 2. Find the linear approximation of f(x) vx at x 4. Then, find the approximate value of 4.4 using…

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