The order and degree of the differential d³y V dy equation: 7+ is dr3 dx 3,2 7, 3, 3, 1 3,7 Question 3 Not yet answered Marked out of 0.50

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

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Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: find a general sulution to the differential eguatiun using variation of A parametert b)yィyニ tantee…

A: Method of Variation of Parameters: This method is quite general and applies to equations of the form…

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

A: Given:y=x+52x-5Differentiation formula:ddxxn=n.xn-1ddxuv=vdudx-udvdxv2

Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: Given Volume of cone isV=13πr2hwhere r is radius and h is height and h is constant .

Q: Let y = tan(2z + 3). Find the differential dy when z = 2 and dæ = 0.4 Find the differential dy when…

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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: 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: Use the differential dy to approximate 4ywhen x changes as indicated. y = V3x – 2; from x = 2 to x =…

A: y= 3x-2Find dy/dx when x changes from x=2 to x= 2.03

Q: Consider the homogeneous ordinary differential dy equation x dy 3x dæ + Зу — 0, х>0 X > 0 - dx? with…

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Q: 1. 3(3x2 + y²)dx – 2xydy = 0

A: According to our guidelines we can solve only the first question. Please re post the other questions…

Q: px+y e- dt = xy %3| dy dx |(x,y)=(0,0) y satisfies the given integral. Find the derivative of y at…

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Q: Q4/ 2x 1- If z = f(x,y) and z = x²y³ + + 1. Determine the total differential. -"/2 2- Evaluate: 2 S*…

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Q: 3(1 + 2) - dy 2ty(y – 1) dt

A: The method to find the solution of the differential equation helps to find the required solution.…

Q: dy -y ze°Cos(E) dt y le) =0 1+らine

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Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

Q: The order of the differential equat 2x2 - 3+y = 0 dy + y = 0 dx2 dx O not defined O 2

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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: Find the differential dy. 1- 5x y = 4 dy = dx

A: Given that y = (1 - 5x)/4 Find derivative of this y. Here i attached solution of this question.

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 dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3…

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

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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: Find the generat Solution t dy (2y + xy) dx or Special o the differential * +1=

A: We have to find the general solution to the differential equation 2y+xydydx=1+4x+4x2

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: (a) Find the differential dy. y = cos(Tx) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: Current Attempt in Progress Find the differential dy. (a) y = xV1-r dy = (b) y = (1+r) 18 dy = %3D P…

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

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Q: 30. Find an equation for the tangent plane to z = f(x, y) at (3, -2) if the differential at (3, -2)…

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Q: Use separation of variables to find the solution to the differential du equation 3 u? if u(0) = 8.…

A: Using variable saperation method 3dudt=u23duu2=dtintegrate both sides∫3duu2=∫dt-3u=t+cu(t)=-3t+c

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: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x…

A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)

Q: Let y = tan(3r + 4). Find the differential dy when z = 2 and dr 0.1 %3D Find the differential dy…

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Q: dy 4. y dx ;y(1) = 3 x(х+1)

A: In this question , Firstly we can integrate on both sides and solve the integral. After that we can…

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

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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 the function w = x* sin(y z' ) dw dx+ dy+ dz %3|

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

A: Find derivative

Q: (a) Find the differential dy. V3 + x2 dy = (22+3)() (b) Evaluate dy for the given values of x and…

A: Given query is find the differential of y and its value.

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: From an integral equation corresponding to the diffrential equation d'y +x + y = 0 with the initial…

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Q: dx-(it 2x tany) dy-0

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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…

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Q: The salution of the differential equation dy subject to the boundary conditions ylo) = 1 and y(0)=0…

A: By using properties of hyperbolic function and trigonometric functions we solve the given problem as…

Q: Find the integrating factor that converts the equation below into an exact equation y de + (2x – y…

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Q: Explain, the given differential 3x²dx + 2yz dy + y² dz is exact or not.

A: We will check whether  3x^2dx+2yzdy+y^2dz is exact or not.

Q: Find the differential of the function f(x, y) Ay = 0.05 . - 8x y at the point (4, 5) using Ar = -…

A: Given; The given differential function fx,y=-8xy at the point (4,5) using ∆x=-0.3  and ∆y=0.05

Q: If f(x, y) the total differential of f at (0, ) i 16e Cos x + 7 cot y, then the total differential…

A: Total differential