Using a Differential as an Approximation, f(x, y) = 16 − x2 − y2 find f (2, 1) and f (2.1, 1.05) and calculate ∆z, and use the total differential dz to approximate ∆z.

Q: Let y = V7 – x. %3D Find the differential dy when a = 4 and dx 0.3 Find the differential dy when x =…

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Q: f f(x,y) = 3x² – 9y², then the total differential of f at z = 1 and y = -2 is :

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Q: Let y = 2/x. Find the change in y, Ay when x = 5 and Ax = 0.1 %3D Find the differential dy when x =…

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Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: Estimate ∆ y using differentials equ ∆y ≈ dy = f ' (a)dx y = cosx, a= π/6, dx = 0.014

A: Given y = cos x  a= π/6, dx = 0.014

Q: Find the differential of the function f(x,y)=x(e^-y) at (2,0). df=?

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Q: Write the differential dw in terms of the differentials of the independent variables. w = f(x,y,z) =…

A: Hair we have to find out the differentials

Q: Using a Differential as an Approximation, f(x, y) = 2x − 3y find f (2, 1) and       f (2.1, 1.05)…

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Q: calculate the total differential dz for  z= x sinh(xy) + y^2 e^(x/y)

A: Given: z=xsinh(xy)+y2exy .

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: Let z = f(x,y) = 2x² – xy. a) Find the differential dz. b) Compute the value of dz if (x, y) changes…

A: Here we use formula of partial derivative to find dz We have,         dz=∂z∂xdx+∂z∂ydy

Q: Let y = 2 T. Find the change in y, Ay when x =1 and Ar = 0.2 Find the differential dy when x = 1 and…

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Q: Find the differential dz of the function f(z, y) = 4g²+z*y – 2xy and use it to approximate Az at…

A: Consider the given information:

Q: - Use the information to find and compare Ay and dy. Function x-Value Differential of x y = x+ x = 2…

A: y=x4dy=4x3dxGiven that dx=0.2, x=2dy=4(2)3(0.2)dy=6.4

Q: Using a Differential as an Approximation f(x, y) = x cos y, find f (2, 1) and f (2.1, 1.05) and…

A: the given function is z=f(x,y)=xcosy

Q: Let y = 2 T. Find the change in y, Ay when x = 1 and Ax 0.2 0.190 Find the differential dy when x =…

A: please see the explanation below

Q: Write the differential dw in terms of the differentials of the independent variables. z+ 6u w=…

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Q: Let y = 3/x. Find the change in y, Ay when x = 2 and Ax = 0.1 %3D Find the differential dy when x =…

A: We have to find change in y and differential dy.

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: If f(x, y) = 17e* cos x + 6 cot y, then the total differential of ƒ at ( 0, ÷) i : O df = 17 dx + 12…

A: f(x,y)=17e-xcos x +6 cot y

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: Find the differential of the function f(x,y)=−5x√yf(x,y)=-5xy at the point (8,2)(8,2) using…

A: Concept: The value of dz and ∆z is given by  dz=∂f∂xdx+∂f∂ydy∆z=f(x+∆x,y+∆y)-f(x,y) Here ∂f∂xand…

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: (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= tanx .(a) Find the differential dy .(b) Evaluate  dy and ∆y if x= and π /4 and dx =-0.1.

A: Given function is (a) Differentiating with respect to x, we get

Q: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

A: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

Q: Let y = f(x), where f(x) = 3x+6/x+6 Find the differential of the function. dy =?

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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: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

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Q: Find the differential of the function f(x, y) = 3xe2y at the point (5, 3) using Ar = 0.25 and Ay = (…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (2.03)2(9.03) – 22(9)…

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Q: Let y = 5,a. %3D Find the change in y, Ay when r = 5 and Ar = 0.2 Find the differential dy when r =…

A: Our problem is let y=5√x First, it is easiest to take the derivative of this when in a different…

Q: Let y = 2 /T. Find the change in y, Ay when x = 1 and Ax = 0.3 %3D %3D Find the differential dy when…

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Q: Compute the differential dz of the function. z = a°!l 9,,11 dz

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Q: Find the differential of the function f(x,y)=−5x√y at the point (8,2)(8,2) using Δx=0.25Δx=0.25 and…

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Q: Find the differential of f(x, y) = Væ² +y8 at the point (1, 3). df = Then use the differential to…

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

A: We are going to solve

Q: z = f(x,y) = 2y³ – xy + 2x² , where y 3 Зт х — бт + 3 %3D a. Find the total differential of z b.…

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Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Let y = 4.x?. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1…

A: Given: y=4x2 To find the change in y, ∆y  x=1 and ∆x=0.4

Q: 2) Test if the given differential is homogeneous or not. If it is homogeneous, determine its degree.…

A: In the given question we have to check the given function f(x,y) s.t f(x,y)=2y+x2+y2 is homogeneous…

Q: Find the second order differential of the function y=e2u, where u=u(x).

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Q: Let y=3sqrt(x)Find the change in y, Δy when x=5 and Δx=0.2 Find the differential dy when x=5 and…

A: Given function is Change in y is calculated as follows. when x=5 and Δx=0.2

Q: Find the total differential, given:

A: The given question belonging to the calculus in which we have to find the total derivative of the…

Q: I. Let z = f( x,y) = xy² Find the equation of the tangent when x = 1, y = 2 Find the equation of the…

A: given z=f(x,y)=xy2first find partial derivative of…

Q: Transform into Bernoullis' form the differential equatian 2r'y' y (y? + 3z) %3D dy dr 3:r y 3,3 O du…

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Q: z = f(x,y) = 2y³ – xy + 2x² , where y = 3m x = 6m + 3 a. Find the total differential of z b. Find…

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