Find the linearization at x = a. f(x) = sin3 (x), a = 4 (Use symbolic notation and fractions where needed.) L(x) =

Q: Find the differential d4y of the function y=x5.

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Q: Find the differential dy of the given function.

A: Given :              The given function is :                   y = 9 - x2 To find :            The…

Q: Find the differential dy of the given function.     y = 3x2/3

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Q: Find the differential dy of the given function. y = In√9-x² dy =

A: Given y=ln9-x2 Formula: ddx(ln u)=u'u where u is a function of x Now consider y=ln9-x2 The given…

Q: Compute the following derivatives using the chain rule. g(y) = ln(1 + y).

A: Take 1+y = t  And use chain rule

Q: 1) x² cos 2x – 3x

A: D2 annihilates x D2+43 annihilates x2cos(2x) Hence D2(D2+4)3 annihilates x2cos2x -3x

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: 1+3x-2x3

Q: find a linear differential operator that annihilates the given function. y = x sin(3x)+ 3xe6x

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Q: Let f(x, y) = sin(3x + 5y) and P = 3 Find the maximum rate of change of the fucntion f at the point…

A: Find gradient of f(x,y). Find compute the point . Take the magnitude of the same .

Q: 5. Find the differential equa tion of (x-c.)" †C2Y C3

A: We will eliminate the arbitrary constants. As there are 3 constants so it'll be differentiated…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We need to find a linear differential operator that annihilates the function given. f(x)=1+2x-3x3

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: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Find the differential dy of the given function. y = 3x2 − 4

A: Given function is Differentiating with respect to x, we get Therefore , differential dy is

Q: 3. Write the exact differential: f(x,y)=e-y-el-

A: Given- fx,y=ex-y-ey-x To write the exact differential.

Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Find the differential dy of the given function. y = InV9 - x2 dy =

A:

Q: Use the appropriate form of the chain rule to find the derivatives. 7x2 + 7y? + z²; x = psin ø cos…

A: This question is based on Partial derivatives.

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: v = ) V In(2x-3y

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Find the linearization of the function f(x) = sin(x) at a = π and use it to approximate the number…

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Q: Find the differential dy of the given function. y = In√√/9-x² dy =

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Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

Q: S(«,9) =7+3y Also, find the total differential of the function.

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Q: Find the linearization of ƒ(x) = √(1 + x) + sin x - 0.5 at x = 0.

A: substitute 0 for x in f(x)=1+x+sin x-0.5 to obtain the value of f(x) at x=0 f(x)=1+x+sin…

Q: Find the differential dy of the given function. y = sec2x/(x2 + 1)

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Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: Find the normalizing constant c so that ce-x/4 dx = 1. C =

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Q: x²y' + 2xy = In x, У(1) 3D 2

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Q: Find the differential d3y of the function y=x2ex.

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Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Find a linear differential operator (of lowest order) that annihilates the given function: f (x) =…

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Q: 8. Compute the differential df of f(x,y) = log (x² + y²).

A: Given; f(x,y) = log(x2+ y2)

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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Q: Consider a differential equaUion -x2 y' = xy + xe

A: we have been given a differential equation with initial condition y(0)=0 y'=xy+xe-x2

Q: Find Zxx=Zyy=Zxy=

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Q: Find the number N such that the differential (y^3-2x)dx+Nxy^2dy is exact

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Q: The differential operator D4 annihilates the functions

A: we have to find the functions which are annihilated by the differential operator D4…

Q: Consider the nonhomogeneous differential equa 1 "(x) + y(x) = e '+ sin a

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: f(x)=1+3x-5x3

Q: 3) 6x + sin 5x + 10 cos x

A: Given function is fx=6x+sin5x+10cosx. We have to find the linear differential operator that…

Q: Compute the derivative of x(x + 2) (2x + 1)(3x + 2) y = (a) directly using the Chain and Product…

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Q: Compute the differential dz of the function. 6.7 Z = x dz ||

A: Here, to find the differential dz of the function z=x6y7 Note that: dz=zxdx+zydy...(1)

Q: Find the partial derivative. z = sin(10x°y + 11xy)

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