Find the approximate root of y = 3x? 12x – 15 when x 0.02 using differentials.

Q: Find the differential of the function y = (√1 + x)/(x − 1) and use it to estimate: The value of y…

A: Given query is to find the differential of y.

Q: Solve the differential equation: xsinydx + (x² + 1)cosydy = 0 π Where, y(1) =

A: first we will separate variables xx2+1dx=-cosysinydy

Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: Determine the differential of the function y=x3−3x2+4x at the point x0=1 when dx=0,1.

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Q: equation y=lnx3x-csch-1 [(tan(3x))] +8, calculate the differential of y if dx=2.9 and x=9

A: Given equation is y=lnx3x-csch-1tan3x+8. Compute the derivative.…

Q: d²y nd by implicit differentiation if 3x² – 7y? = 14. dx?

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Q: Find the differential dy of the given function y = √(36 − x2)

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Q: Find the differential of the function y=√x3+4x at x=2.

A: Given the function:

Q: Find the differential d5y of the function y=sin2x.

A: To Determine: Find the 5th differential of the given function y = sin(2x)

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Determine the form of a particular solution (without computing the coefficients) to the differential…

A: The given differential equation is y''-14y'+49y=3te7t

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: 8. y' = 1+3y tan x

A: Consider the equationy'+p(x) y=q(x)IF=e∫p(x) dxSolution is y(IF)=∫q(x).IF dx

Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Find the differential of the function. y = x4 sin(12x) dy = ?

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Q: f (t) sinh 3t + cosh 3t 2t3 -

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Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Find the value differential equ of the arbitrary and the value c y'+4

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

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Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

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Q: of the differential equati

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: 2xdy + y Cyz Inx -1) dx = 0

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Q: For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T . If your…

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Q: Solve the differential Egueations Zydx - (3xy*dx- xdy =0 When

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Q: y(4) 4х + 2хе %3D

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Q: Find the differential of each function.  y = s/ (1+2s)

A: The given function is y=s1+2s To find the differential equation for function y, Since the given…

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: Find the differential d3y of the function y=x2ex.

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Q: How do you slove this differential eqaution? y'' + 2xy = y

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Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Find the second differential of the function y=x2cos2x.

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Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: Solve the differential eqution y'-y=7e^x

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Q: -X y" + 2y² + y = €²² ln x e^

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Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: To use differentials to approximate V8. You would use x = and dx

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Q: Find the differential of the function. 8x y = e dy = 8e8x

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Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

Q: Y"+4y'+4y=e-2x Lnx

A: Given differential equation is y''+4y'+4y=e-2xlnx. Now auxiliary equation is m2+4m+4=0⇒(m+2)2=0…

Q: Given the function y = x3 + 7x, find the differential dy.

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Q: I Solve the differential equatons 2ydx = 3xy°dx + xdy when x = 2, y=-2 2.

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Q: Find the differential of the function. w=2xyexz dw=(__)dx + (__)dy + (__)dz

A: W = 2 x y e xz dw  = 2 yexz  + 2 x y z e xz dx  dw  = 2 xe xz dy

Q: Solve for the differential of y when y=sinx, x=–, and dx =-. 3

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Q: Calculate the increment and differential of the function y=x2−x+1 at the point x=2 when dx=1.

A: Given, the function is y = x2 -x +1 at the point x = 2 and dx = 1, We have to calculate the…