Q2. Evaluate ( (9-z²) dV R where R is the solid hemisphere メキリ+2-2つty:4,Nwo b. Obtain the the general Soluton log istic differential Dquettvon. dP -P-p² dt of

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: Let y = (x² + 1)5. Find the differential dy when x = 1 and da = 0.4 %3D Find the differential dy…

A: Given function is y=x2+15. Differentiate y=x2+15 with respect to x dydx=ddxx2+15=5x2+14⋅2x=10xx2+14…

Q: Let y = V7-T. Find the differential dy when r = 4 and dr 0.2 Find the differential dy when r = 4 and…

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

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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 = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: Find the IVP for the differential eqution X' y' - 3xy'+68y=0, that satisfies the initial conelition…

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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: 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: find the differential of each function

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

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

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

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Q: If y approximate the differential dy when x changes from 64 to 64.07

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Q: Let y 52?. Find the change in y, Ay when r = 5 and Ar 0.1 Find the differential dy when x 5 and dx =…

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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: d?y dz? Find the two real root second order differential with for 6- + 5 dy = 6y dx O C1*e^(2x/3) +…

A: Solution:-  Given differential equation            6d2ydx2+5dydx=6y     Firstly rearrange  this as…

Q: Let y = tan(4r + 8). Find the differential dy when a = 3 and dæ = 0.1 Find the differential dy when…

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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: Find the singular sol" of the differential eqh (P+1)² (y-px) = 1 -

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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: find the third-order differentials z=e^x * cos y

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Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: Find the total differential dw. 4. w = e*" – sin(yz) -

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Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt

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Q: Let y = (x + 3). %3D Find the differential dy when z = 2 and dz = 0.2 Find the differential dy when…

A: Given:  y=(x2+3)5  Differentating y with respect to xdydx=ddx(x2+3)5Using differential power rule…

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: If f(1, y) = 17e cos z+ 9 cot y, then the total differential of f at (0,) is O df = -17 dr + 18 dy O…

A: Given that:-     fx,y=17e-xcosx+9coty  we know that total differential is =     df=fxdx+fydy…

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

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Q: Given y = 4e* + In x, find the differential dy. %3D

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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: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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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 = 3a. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and…

A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: If f(x, y) = 22e¯ª cos x + 4 cot y, then the (0, is total differential of f at - O df = 22 dæ + 8 dy…

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Q: Find the differential of each f (a) y = 1 + 4s dy =

A: (a) The given function is: y=s1+4s. The quotient rule of differentiation states that d…

Q: Find the differential of the function f(r, y) = ye" at (0,-1). df =

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

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Q: Find the second order differential of the function y=u3, where u=u(x).

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Q: (a) Consider the direction field of the differential equation dy/dx = x(y – 8)2 - 4, but do not use…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: y' +2y =t, y(0) =-1 %3D

A: To solve the following first-order differential equation using the Laplace transform.

Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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