Use differentials to approximate the change in z for the given change in the independent variables. z=x - 4xy + y when (x,y) changes from (5,2) to (5.04,1.98) dz = (Type an integer or a decimal.)

Q: Find the differential of the function T = uw / 1+ uvw

A: Our Aim is to find the differential of the function:-T=uw1+uvw-(i)

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: Calculate the second order differential of the function f(x,y) = x^{4}*y^{2}+2*x-y^{7}+3 Attached…

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Q: let y=2 sqrt x Find the change in y, Δy when x=3 and Δx =0.3 Find the differential dy when x=3 and…

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Q: Let y = 5√√x. Find the change in y, Ay when x = 1 and Ax = 0.3 Find the differential dy when x = 1…

A: It is provided that y=5x. We need to determine ∆y for x=4, ∆x=0.3 and we need to determine dy for…

Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

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Q: Determine whether the following statement is true or false, and explain why.  When the change in x…

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Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: Find the differential of the function f(x, y) = 7x² + 8xy + 5y² at the point ( – 3, 5) using Ax = -…

A: To find dz and ∆z

Q: Let y = 5a. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and…

A: According to question given y=5x2x=4 and ∆x=0.4We have to calculate the change in y, ∆y

Q: Use differentials to approximate the change in z for the given change in the independent variables.…

A: To calculate the approximate change in z for the independent variable by using differential if the…

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Let y = 5x². Find the change in y, Ay when x = 3 and Ax 0.4 Find the differential dy when x = 3 and…

A: x = 3  f(x)=f3=5·32=45 f(x+△x)=f3+0.4=f3.4=5·3.42=57.8 △y=f(x+△x)-f(x)=57.8-45=12.8

Q: Let y = 2/x. Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3…

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Q: D. Fina the total differential of the function xye¬(x²+y*),

A: Given: f(x,y)=xye-x2+y2

Q: Find the differential of the function y=1/√u2+v2, where u and v are differentiable functions of the…

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Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ar 0.2 Find the differential dy when x = 2 and…

A: We have to find solution

Q: Let y = 2/a. Find the change in y, Ay when æ = 4 and Aæ 0.1 Preview Find the differential dy when x…

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Q: Let y = 5 x. %3D Find the change in y, Ay when a = 5 and Ax = 0.3 %3D Find the differential dy when…

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Q: Find the differential of the function y= 1/√(u^2+v2), where u and v are differentiable functions of…

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Q: Let y = 5/a. Find the change in y, Ay when æ 3 and Aæ 0.2 Find the differential dy when a = 3 and dæ…

A: Given function is y=5x (a) Change in y is calculated as follows.…

Q: . f(x, y) = y*e*Y at (0.2, 1.96)

A: Use differential formula to find approximate value.

Q: (a) Use total differential to find the approximate value for f(-0.07, 2.98) if f (x,y)=x²y-2xy-6,…

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Q: Let y = 4x. Find the change in y, Ay when x = 5 and Ax = 0.3 Find the differential dy when x = 5 and…

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Q: Let y = 4x“. Find the change in y, Ay when x = 3 and Ax Find the differential dy when x = 3 and dæ =…

A: Given that: y=4x2, x=3 and ∆x=0.4

Q: Both parts

A: Given

Q: Let y = f(x), where f(x) = X - 6 Find the differential of the function. dy =

A: Diffrential is just put function of y and x separate and then just find f'(x). Now put the value of…

Q: Use the differential dz to approximate the change in the function z (shown in the image) as (x, y)…

A: Given that:   The given function z = f (x, y) moves from the point (1, 1) to the point (1.03, 0.95),…

Q: Use differentials to approximate the change in z for the given change in the independent variables.…

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Q: Let y = 3Ja. Find the change in y, Ay when x = 3 and Ar 0.2 %3D Find the differential dy when x = 3…

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Q: Let y = f(x), where f(x) = x4 − 5x. Find the differential of the function.

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Q: Find the differential of the function. 3 z = 3t - t2 dz II

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Q: Use differentials to approximate the change in z for the given change in the independent variables.…

A: NOTE: Refresh your page if you can't see any equations. . (x,y) changes from (5,2) to (5.05, 1.98)…

Q: Let y = 4 a. Find the change in y, Ay when x = 3 and A¤ = 0.3 %3D Find the differential dy when x =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the differential of the function. 7 + uvw Da + | Dov•([ Daw dT =

A: Given function is By using quotient rule of differentiation

Q: Let y = 4/r. Find the change in y, Ay when x = 3 and Ax 0.2 Find the differential dy when x= 3 and…

A: We know that, Δy= y(x+Δx)-y(x) Given, y= 4√x --------equation 1 x=3 Δx= 0.2 Therefore, Δy=…

Q: Evaluate. The differential is exact. (1, 2, 5) (2xy2 - 2xz2) dx + 2x2y dy - 2x2z dz (0, 0, 0) O -21…

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Q: Let y 52 Find the change in y, Ay when 1 and Ar 0.3 Preview = 1 and da 0.3 Find the differential dy…

A: Refer to the question , the provided equation is y=5x^(2 ) and we have to find the change in y when…

Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: Find the differential given: y=(1+x) y%3D

A: Given,            y=1+x4

Q: Let y = 5 /a. Preview Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when…

A: Given:

Q: Let y = 4√x. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: Let y = 3/. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1 and…

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Q: Let y = 2x2. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1…

A: Given function is y=2x2, The change in y at x=1 is given by,…

Q: Find the differential of the function. w=2xyexz dw=(__)dx + (__)dy + (__)dz

A: W = 2 x y e xz dw  = 2 yexz  + 2 x y z e xz dx  dw  = 2 xe xz dy

Q: Use differentials to approximate the change in z for the given change in the independent variables.…

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Q: Use differentials to approximate the change in z for the given change in the independent variables.…

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Q: Let y = 2/x. Find the change in y, Ay when x = 3 and Aæ = 0.4 Find the differential dy when x = 3…

A: Given,            y = 2x

Q: Let y = 3x². Find the change in y, Ay when x = 1 and Ax 0.1 Find the differential dy when x = = 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…