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

Q: The differential of y = (5x-6)e2z has the form | dy = (mx + b)e2# dz %3D Find the values of m and b.…

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Q: 2x e d.x 4e2 – 8e" + 5

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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: 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: 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 = 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 : 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: Given y = V4x + 5, find the differential dy when a = 7 and dæ = 0.3. %3| Round your answer to three…

A: Given data:   The expression for the given function is y=(4x+5)1/2. The given value of x is x=7. The…

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

A: Answer and explanation is given below...

Q: Find the differential of each function. (a)     y =  u + 3 u − 3 dy =

A: note some formulas  d(u v) = u dv + v du d( x ^n ) = n x^(n-1) dx d(f( x) ^n ) = n (f(x))^(n-1) d…

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 differential dy. (а) у — ху5 xv5 – x dy = (b) y = (1+x)-9 dy

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Q: dx 2xVIn x (b)

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Q: If z = x²y, use differentials to determine dz for the quantity (3.01)2(8.02). 72.662 0.662 0.66…

A: To determine dz. Given that z=x2y for the quantity 3.0128.02. Here x=3, dx=0.01, y=8, and dy=0.02…

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: @ yーJ=ex 12 y3=

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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: 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: t²e*dt dz J2r

A: on solving this we get the

Q: Solve for the differential of y when y= sinax, x=-, and dx= (A 4 B C) 4 D

A: Given; y=sinπx ,x=1/3, dx=1/2.

Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: Find dy/dx

A: the given expression is: y=∫0x1+t2dt we have to find the value of dydx

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

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Q: Let y = /7– 2. Find the differential dy when a = 4 and dæ = 0.4 Find the differential dy when æ = 4…

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Q: Find the antiderivative dx/(x2+4)3

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Q: Find the differential of the given functions. 1. y= x³ – 2x² + 5 5. y = V1-s2 v2 2. u = %3D v+2

A: In this question, we need to find the differential of the given functions.

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: Lind -2x+H where X- oro Zy

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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 of f(x, y) = f(1.04, 1.98).

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Q: c. x²dy+ (2x³y – e*)dx = 0

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Q: Find the differential of the function. y = V 3 - t 35 dy = V 6 3 –

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Q: Find the differential of the function. V T = 4 + uvw dT du + |dv + dw

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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 z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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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 = 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: Find z = f (x, y) and use the total differential to approximate the quantity. (2.01)2(9.02) − 22 ∙ 9

A: The given quantity is 2.0129.02-22·9. It is of the form of fx+∆x,y+∆y-fx,y. Here, x=2,y=9 and…