Find the total differential. 4x + y w = 2z - 8y |

Q: 1 (a) 3.98 By using the differential, approximate (b) v17.02

A: Topic = Algebra

Q: Let y = 4x². Find the change in y, Ay when æ = 4 and Aæ 0.2 Find the differential dy when a = 4 and…

A: Given: y=4x2 From the given data, x1=4 y1=4(4)2 y1=4(16)y1=64 Also given that ∆x=0.2…

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (2.04)2(1 + 8.8)3 −…

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Q: If z = 3x? + y? – 5y, find the differential dz. You should have variables dx, dy, y, and x in your…

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Q: Let y = 2x2. Find the change in y, Ay when x = 5 and Ax 0.1 Find the differential dy when x = 5 and…

A: We have to solve

Q: Let y = = 4a?. Find the change in y, Ay when x = 2 and Ax = 0.2 3.2 Find the differential dy when x…

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Q: 2. Find the differential. 1 a) z = b) w=2z°ysinx

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Q: Find z = f (x, y) and use the total differential to approximate the quantity.

A: Given: The expression

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: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

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Q: Let y = 4x2. Find the change in y, Ay when x = 4 and Ax 0.2 9.96 Find the differential dy when x = 4…

A: solution:-To find change in y,∆yy=f(x)=4x2x=4∆x=0.2∆y=f(x+∆x)-f(x)      =f(4+0.2)-f(4)…

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: Let y : 2x + 3x +4. Find the differential dy when x = 5 and dæ 0.3 Find the differential dy when x =…

A: Given, y=2x2+3x+4 Differentiating with respect to 'x', we get dydx=ddx2x2+3x+4=2×2x+3×1+0=4x+3…

Q: Find the total differential of the function f(x, y) = 3 x2 + 4 xy + 2 x %3D df = ( ?) dx + ( ?) dy

A: given f(x,y)=3x2+4xy+2xrewritef(x,y)=3x2+2x+4xytotal differential of the function is given…

Q: Let y = 2x². Find the change in y, Ay when I = 4 and Ar 0.1 Sesse Find the differential dy when = 4…

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Q: Let y = 3x2. 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: Find f(2, 1) and f(2.1, 1.05) and calculate Δz, and use the total differential dz to approximate Δz.…

A: Given

Q: B. If R = xyz’i+÷j – yz*k_find of the differential R, dR.

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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: Find the differential of the function y = f(x) f(x) = (2x² 1)1/3 dy = %3D

A: It is derivative problem.

Q: Find the total differential. w = = x?yz° + sin(yz) dw =

A: In partial derivatives, the total derivative approximates the function with respect to all of its…

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

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

Q: Find the differential dy. (a) y = xV7-x dy (b) y = (1+x) dy

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Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

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: Find the total differential of the function. 4y f(x, y) 5x - y df =|

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Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the differential dw for the function w = ƒ(x, y, z).

A: Consider the given function w=fx,y,z

Q: Find the total differential of the function f(r, y) = (3 y²+6 2):

A: Given,           The function is fx,y=3y2+6x13 .

Q: Find the differential dy. (a) y = xV10 - x dy = -2 (b) y = (1+x) ? dy =

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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: Q5. If W = x² y + 2xyz , x = t², y = t + 1, z = 2t at t = 1. Find the total differential

A: Let's find.

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

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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 =…

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Q: Find the differential of the function. z = x In(y* + 8) = zp dy + xp Find the differential of the…

A: Given:- Z = x ln(y3+8)  H= x5 y8 + y3 z9  To find:- dz and dH

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: Find the total differential. 2x + y W = 5z - 4y

A: For a function of two or more independent variables, the total differential of the function is the…

Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: Find the differential of the function f (x, y) = xe at (-3,0). df =

A: Explanation of the answer is as follows

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (2.04)^2(1 + 8.8)^3 −…

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Q: Find the total differential of the function. f(x, y) = 3x2 - 7xy + 4x df = ||

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

A: Given:- f(x) =4√x To find :- Change in y , Δ y when x = 4 and  Δ x=0.1  Differential dy when x= 4,…

Q: Find the differential of f(x, y) = f(1.04, 1.98).

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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: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: Find the total differential. 5x + y w = 2z - 6y dw =

A: Consider the given equation. w=5x+y2z-6y The objective of the problem is to find the total…

Q: Let y = 3a?. Find the change in y, Ay when x = 1 and Ax = 0.3 Find the differential dy when x = 1…

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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…