Use the differential dz to approximate the change in z = √4 − x2 − y2 as (x, y) moves from the point (1, 1) to the point (1.01, 0.97). Compare this approximation with the exact change in z

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 = 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: Find the differential dy: y = In (sec² (3ª²–2x+5)).

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Q: Use the total differential dz to approximate the change in z= 6-x² – y² as (x, y)moves from the…

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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)=x(e^-y) at (2,0). df=?

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Q: Let y = tan(2z + 3). Find the differential dy when z = 2 and dr 0.1 %3D Find the differential dy…

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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: For functionf (x, y) = e*y + cos(x – y), write the first and second order full differentials

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Q: Let y = f(x), where f(x) = Vx + 4. Find the differential of the function. dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

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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: Find the differential dy, then evaluate: y= 2x3+ 6x-| when x= -2, dx= 0.l

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Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy…

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Q: Let y 4 Find the change in y, Ay when ax = 0.2 4 and Ar Find the differential dy when 4 and da 0.2 =

A: Change in y is,

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

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Q: If f(x, y) = 3x² – 7y, then the total differential of ƒ at x = 1 and y = -2 is :

A: we need to find the total differential of the function  f(x,y) = 3x2 - 7y2 the total differential,…

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 total differential. w = e²y cos(7x) + z³ dw = (No Response)

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Q: Find the total differential of the function. 5x + у f(x, у, 2) y + 3z df =

A: Total differentiation

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

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Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

A: Formula :

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 change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

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

A: To calculate the total differential dw for the given function of three independent variables

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: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

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: 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: 1. xy + z2

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Q: Let y = f(x), where 3x? f(x) : Зx + 4 ,2 x + 4 Find the differential of the function. dy =

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Q: Let y = f(x), where   f(x) = 4x2 + 6.   Find the differential of the function.   dy =?

A: Given: y=fx=4x2+6 now differentiating given function with respect to x

Q: Find the differential of the function. Z = e cos(2nt) dz = dx + dt

A: Given,

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

A: Explanation of the answer is as follows

Q: 51. grad f = (2x + 3e")7 +3xe'j

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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: Find the total differential. w = e3Y cos(5x) + z5 dw

A: The total differential of a function w= f(x,y,z) with continuous first partial derivatives in a…

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

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Q: Let y=3x^2  Find the change in y, Δy when x=5 and Δx=0.1    Find the differential dy when x=5 and…

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Q: X Cos 9TTX² dx 2. 2. V= dTx²

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Q: Use the differential dy to approximate Ay whenx changes from x = -2 to x = -1.96. %3D y = x² + 1

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Q: Find the differential of f(x, y) = vx2 + y³ at the point (1,2). df

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Q: Find the total differential. z = 6x *y5 iz

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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: 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: Let W=x*yz.compute the differential dw.

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Q: Find differential of the function y = (1+6). dy = dr. When z =5 and dr 0.05, compute the…

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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…