Find the total differential z = 5x3y2

Q: Find the total differential. z = e-X tan(y)

A: Given, fx=z=e-xtany To find fx=z

Q: QUESTION 2 Use differentials to estimate v8.99 + (8.99)² correct to two decimal places.

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Q: Find the differential d4y of the function y=x5.

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Q: Find the approximate value of √0.95 using differential

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Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: The integrating factor of y= 2x' is dx

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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: Find the total differential. z = 5x3y9 dz =

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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: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: Find the integrating factor of x dy / dx =x^ 2 +3y,

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Q: Find the most general antiderivative. dx x2

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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: 2x,x X, +X, Find the total differential dy, given

A: Introduction: On an open set S, let z=f(x,y) be continuous. Changes in x and y are represented by dx…

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

A: Given function is

Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: This is a linear DE. If arranged to its form, what is the integrating factor? * xdy ニ

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: (6xy)dx + 4y +9x ² )civ = 0

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Q: find the integrating factor (x+1)dy - (2y+2x+1)dx = 0

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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: Find the total differential w = x2yz2 + sin yz

A: Partially differentiate w = x2yz2 + sin yz with respect to x and keep y and z as constants.…

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

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Q: Find the differential dy. x + 3 4x - 1 dy =

A: y=x+34x-1

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: Find the total differential z = 1/2 (ex2+y2− e−x2−y2)

A: The given function is z=12ex2+y2-e-x2-y2. Note that  ∂z∂x=12ex2+y22x-e-x2-y2-2x=xex2+y2-e-x2-y2…

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

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Q: The integrating factor of 3xdy + 3y dx is

A: given differential equation: 3xdy+3ydx=0 Remember :  A differential equation of the form…

Q: Find the differential d3y of the function y=1/√x.

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Q: Find the total differential of  w=x3yz+xy+z+3

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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: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: Find the differential given: y=(1+x) y%3D

A: Given,            y=1+x4

Q: Find the differential of the function. = e dy =

A: y= e^(2x) dy = 2 e^(2x) dx

Q: Find the integrating factor for ty' + 2y = t5

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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: Find the total differential. z = 10x6y7 dz =

A: Differentiation of xⁿ = nxn-1

Q: Find the total differential. z = 10x y10 dz =

A: As we know that the: If the given function is z=fx,y then the expression for the total differential…

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 approximate value of V0.95 using differential

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Q: Find the differential dy of the given function. y = √(9 − x2)

A: The given function is Now, find the derivative of the function

Q: zp dt

A: we have to solve the differential equation. dzdt+2et+z=0

Q: dy dt II

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Q: Find the differential dy of the x + 1 y = 4х — 5 dy =

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Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0