Find the linearization L(x) of the function at f(x) = x4 + 2x2, a = 1 L(x) =

Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: Given that the function is  f(x)= e-x, a= -0.1 To determine the linearization for the function.  The…

Q: equilibrium

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Q: Find the derivative of y with respect to x. (Hint: chain rule) y = -csc-1 24 V(8x + 92 - 9 24 (8x +…

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Q: Show that the linearization of ƒ(x) = (1 + x)k at x = 0 is L(x) = 1 + kx.

A: The given function is

Q: z = x3 – xy? + 3y2

A: Let us consider the two variable function z=f(x,y) The first partial derivative of the function is…

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

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Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: Given, f(x)=1x, a=0.9 now find linearization f(0.9)=10.9=109 so linearization at 910,109…

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) e2t2…

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Q: Use partial differentiation to find the derivative of the implicit function dy (3x'y-1)+ 7xy = 9…

A: We will use the given formula to solve this question.

Q: Find the partial derivative of f(x,y) = 5x3y2

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Q: (b) Find the first order partial derivative af and for the function f(x, y) = x/y –x²y+ y²

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Q: Find the relative maxima and minima of y by the second-derivative test: (a) y = -2x2 + 8x = 25…

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Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

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

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Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: Find the orthogonal trajectories of x² + y² – 2cy = 0

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Q: Find the derivatives of the functions in Exercises 27. y = x2sin^2 (2x2)           28. y = x^-2sin^2…

A: To find derivative of 1) y=x2sin2(2x2)2y=x-2sin2(x3)

Q: Find the orthogonal trajectories of the family of 1 curves Y= X + k

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Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: Find the maximum rate of change of the function f(x,y) =4x^2-2y^3 at the point (1,1)

A: Given data: The given function is f(x,y)=4x2-2y3. The given point is (a, b)=(1, 1). The expression…

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: The nearest integer to a=-0.9 is -1 because at this point, we can easily find the function's value…

Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

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

A: (1)Given:

Q: Find the linearization of y=2^x at a=0

A: use derivative to find the Linearization of y

Q: For the function f (x,y,z,w) with x, y, z, and w all functions of s, t, andr, write out the chain…

A: The function is fx,y,z,w x,y,z,w are functions of s,t,r.   Partial derivative of a function with…

Q: Find the linearization of ƒ(x) = √1 + x at x = 0

A: Consider the following function: fx=1+x Differentiate fx with respect to x: ddxfx=ddx1+xf'x=121+x

Q: Find the linearization of the function at x = 1. * f (x) = 2x³ - 3x + 7 O y = 6 + 1(x - 3) O y = 6 +…

A: Given, fx=2x3-3x+7

Q: Find the equation of orthogonal trajectories of the given function 8x² + y² = c.

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Q: g(=) = / Compute the derivative of g(x) dt. -2xe5 - 2xe - 2xe

A: Given           g(x) = ∫x21et3 dt

Q: Find the differential of the function.

A: Differentials are infinitely small quantities. We usually write differentials dx, dy, dt (and so…

Q: Use the gradient descent method in the equation f=2(x_1)^2 + (x_2)^2 with the starting point (1,2)…

A: Given : equation                fx1, x2=2x12+x22 with starting point 1, 2 Use gradient descent in…

Q: 04:- Use the Chain rule to find the derivative ) of z = 3x2 - 2 xy y and If x=x (u, v) = 3u + 2v and…

A: Please refer to the image below.

Q: If f(x, y) = x3 + y4, what is the partial derivative of f with respect to х? .A fx = 4x3 || .B fx =…

A: The objective is  to find the partial derivative with respect to x.

Q: (b) Find all first and second partial derivatives of z = x² In(x² + xy).

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the orthogonal trajectories of У — сх CX

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Q: Find the first partial derivatives of fx and fy of the function f(x,y) = 4e2x - x3y5

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Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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Q: Find the partial derivatives of the function V1r2 + 1s² + 6r² w =

A: Given,  w=1r2+1s2+6t2

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

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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: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 3t…

A: By fundamental theorem of calculus, we have

Q: Find the derivative of the function. 4x - 5 8x + 1 dx dx d (8x + 1) • (4x - 5)– (4x – 5) • d (8x+1)…

A: Explanation of the answer is as follows

Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: Find all the second order partial derivatives of the given func f(x.y) = xy2 + yex + 5 A.

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Q: Find the linearization of the function at the given point f(x,y)=-10x+8y-9 at (-7,4). A.…

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

Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

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