Find the linearization L(x) to the function f(x)= Vx+4 at x =4, then use the linearization to estimate 8.25.

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

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Q: The integrating factor of the LDE y' = x - 2ycotx is

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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: Find linearization of the function f(x) = Vx + 3 at a = 1 and use it to approximate V3.98

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Q: Find the orthogonal trajectories of y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: Find the linearization of y = at x = 16.

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Q: Find the linearization of the function f(x,y) = V9x² + 16y² at the point (1, 1), and use it to…

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Q: y = x – 2 + Ce* X-

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Q: Find the linear approximation of f(x) = e(a) at a = 1.

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

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Q: A:- Find the orthogonal trajectories for functions In -1) = - COS X +a y

A: The given family of curves is: lny-1y=-cos x+a ,            where a is an arbitrary constant.

Q: Find the linearization L(x)of the function at a .

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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: d Use the chain rule to calculate f(x), if f(x) dx, dt. -x12 f(x) =

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Q: Find the linear approximation L(x) to y = f(x) near x = a for the function.  F(x) = (1 / x) , a = 2

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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 orthogonal trajectories of the family of curves x when 'a' is the parameter. +y Da

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Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: 3 ) Express f(t) in terms of the unit step function u(t).

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Q: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: Find the linear approximation to f(x) = at a = 4.

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

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Q: ) Find the local linear approximation of the function f(x) = V1+x at xo = 3, and use it to…

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Q: Find the linearization L(x)of f(x)at x = a where f(x) = Vx² + 9 at a = –4

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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 orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: Let I = W/H^2 denote the BMI. Estimate the change in height that will decrease I by 1 if(W,H) = (25,…

A: I = WH2    (Given)    W=26                         H=1.1   W= Constant (given) I = WH2 = W(H2)-1 =…

Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

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Q: Find the orthogonal trajectories of the family of x² – y? = cx = CX -

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

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

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Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Find the linearization of the function f (x) = a° at a = 1.

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Q: Find the linear approximation of f(x) = Vx +I at a = 1.

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Q: Consider the function y defined implicitly by 3(x2 + y2)? = 100xy. Use the linear approximation at…

A: Given : 3(x² + y²) = 100xy

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: Find the local linear approximation L (x)of the function f (x) = lnx at x = 1 %3D

A: LINEAR APPROXIMATION

Q: Find the linearization L(x) of y=e10xln(x) at a=1

A: y=e10xln(x)  The linearization L(x) of a function f(x) at x = a is, Now  Now differentiating given…

Q: Find the linearization of the function f(x)=x2+2cosx at a=0.

A: Linearization of a function f(x) at x = a is given by, Now,

Q: determine the equation of the orthogonal trajectories of the following families curves: e^x+e^-y=C1

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

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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

A: f(x)=e5x point a=0

Q: Find the critical point(s) of the function f(x, y) = 6x²y – 12a2 – 3y? and use the second derivative…

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