Find the differential of the function f(x, y) Ay = 0.05 . - 8x y at the point (4, 5) using Ar = - 0.3 and dz Now find Az and compare it to your answer above Az Hint: If entering a decimal, round to at least 5 places

Q: Estimate Ay using differentials. 11-x5 2+x5 (Give your answer to four decimal places.) Ay ≈ y =…

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Q: Find the differential of the function. y = x2 In(x) dy = Evaluate it at the given values of x and…

A: the given function is y=x2ln(x) we have to find the value of dy.…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 − 5 dy =

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Q: Find the differential of the function f(x, y) = 9x? – 6xy + 8y² at the point ( 6, 3) using Ax = -…

A: given function fx,y=9x2-6xy+8y2 , point x0,y0=-6,3 also ∆x=-0.15 , ∆y=-0.25 as we know…

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

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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: If xs2 + yt2 = 1 and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t, at (x, y, s, t) = (1, −3,…

A: We have to find the values of partial derivatives.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 6x2 − 3 dy =

A: y = 6x2 − 3

Q: Estimate Ay using differentials. y = x' 1/5 e3x-1, a = 1, dx = 0.1 (Give your answer to four decimal…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x2 − 1 dy =

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Q: Find the differential of the function f(x, y) = - 2x2 + xy + 4y² at the point (7, 2) using - 0.2 and…

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Q: Use the differential dy to approximate Ay when x changes from x = -3 tox = -2.99. y = x2 + 1 Enter…

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Q: • Determine the value of C for the given first order differential dy y(lny-Inx+1) equation dx when…

A: To find:- particular solution of given differential equation

Q: Find the differential of the function f(x, y) = xe2y at the point (2, 3) using Ax = – 0.15 ar Ay =…

A: we have, fx,y=xe2y at the point 2,3 using ∆x=-0.15 and y=0.15.…

Q: Let y = v6 – x. %3D Find the differential dy when x = 1 and dx 0.1 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: 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: x² (y + z) – 4V/x²+ y² + z² = 0,

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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: Find the differential dy of the given function. (Use "dx" for dx.) y = 6x2/3   dy=

A: Given :                   y = 6  x23   To find :              The differential of the given function…

Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: Using h=0.3, approximate the value of y(4) for the given differential using 4th order Runge-Kutta…

A: Consider the given equation and initial value. xy2+x3y12dy+y3-x4dx=0dydx=x4-y3xy2+x3y12 And, the…

Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: Find the differential dy when x = 2 and dx = 0.1 Find the differential dy when x = 2 and dæ = 0.2

A: ddxtanx =sec2x ddxxn=nxn-1

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

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Q: Find the differential of the function. y = In(x2 +4) dy = Evaluate it at the given values of x and…

A: Given equation is y=ln(x2+4) Applying differential on both sides with respect to x…

Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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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: Estimate Ay using differentials. y = x/5 e3x-1 a = 1, dx = 0.1 (Give your answer to four decimal…

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Q: Use separation of variables to find the solution to the differential dy y²(4 + t), if y = 2 when t =…

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Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

Q: Let y = tan(3x + 2). Round all answers below to 5 decimal places. Find the differential dy when x =…

A: Given, y = tan(3x +2 ) So,  dy/dx = sec2 (3x +2) * 3          (because d[tan(ax + b]/dx = sec2[ax…

Q: Find the differential dy for y = xV1-x. Do not simplify your answer.

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Q: Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when x = 1 and dæ = 0.4

A: Answer

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: Use separation of variables to find the solution to the differential dy equation 0.3(y - 300) if y =…

A: Variable separable differential equation

Q: Find the differential dy of the given function. y = V 3 - x2 dy =

A: Find derivative

Q: Estimate Ay using differentials. y = x4$x-1, a = 1, dx = 0.1 (Give your answer to four decimal…

A: Given      y=x14e5x-1a=1,  ∆x=dx=0.1

Q: Let y tan(3x + 2). Round all answers below to 5 decimal places. Find the differential dy when x = 2…

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Q: Find the differential of the function f(x, y) = - x/y at the point (6, 2) using Ax = 0.1 and Ay =…

A: Consider the provided question, We need to find the differential of the function fx,y=-xy at the…

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

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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: Find the differential of the function f(x, y) = 8x/y at the point (2, 3) using Ax = 0 and Ay = -…

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Q: Find the total differential df to the function f(x, y) = x²y – xy? when x decreases from -2 to -2.01…

A: We will find out the required value.

Q: Find the differential of the function f(x, y) = 4x2 + 9xy + 8y at the point ( - 3, 1) using Ax = -…

A: To find - Find the differential of the function fx, y = 4x2 + 9xy + 8y2 at the point -3, 1 using ∆x…

Q: Solve the differential equatic y' = (x + y + 2)², Chart Area y(0) = 2 by setting u = x + y + 2.

A: y'=x+y+22let u=x+y+2     u'=1+y'     y'=u'-1