Find the total differential. z = 6x *y5 iz

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

A: Given, fx=z=e-xtany To find fx=z

Q: Find the approximate value of √0.95 using differential

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

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Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: The volume of a right circular cylinder is,

Q: L* dx 1 S Int dt

A: We will use the Newton Leibnitz formula

Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the…

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and…

Q: Find differential of the function y = (x² + 8)3. dy = dx. When x = 5 and dx = 0.05, compute the…

A: Solving

Q: dx + 3tx = t4 Int+1, dt 2. t2. %3D

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Q: Integrate: J [ xe*dx

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Q: Determine the average rate of change of the function y = sinx from X = 0 to x = 2 O1 2

A: The average rate of change of the function f(x) can be calculated using the formula Average rate of…

Q: Estimate Ay using differentials. .1/5 y = x5 e3x-1 a = 1, dx = 0.1 (Give your answer to four decimal…

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Q: 1. Jxe dx

A: We have to apply simple integration rules to solve the problem

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 most general antiderivative. dx x2

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Q: Find the differential of the function y=1/√u2+v2, where u and v are differentiable functions of the…

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

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

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Q: Differentiate. In x y= 11 y3D dx

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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: linear a approx Imation differential's to estimate Ja6.96

A: let ,

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 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: (a) Use total differential to find the approximate value for f(-0.07, 2.98) if f (x,y)=x²y-2xy-6,…

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Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: Find the differential of each function. (a)     y = etan(πt) (b)     y = sqrt(1+ln(z))

A: given y = etan(πt) we need to find the derivative of the above function…

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: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

Q: Differentiate y= cosh vx

A: Given, y = coshx  We have to differentiate it.

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

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Q: (y – x + xycotæ)dx + xdy

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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: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

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

A: Given,            y=1+x4

Q: Integrate: IZ+x dx Cos(l+se)dt

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Q: Find dy/dx. x = 9/t, , y = Vte-t

A: topic - derivative

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 intergration: dy

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Q: Integrate x?dx

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Q: 3 S S t² etu du dt

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Q: Find differential of the function y=(x^2+3)^3 dy=? dx When x=4 and dx=0.05, compute the…

A: We have to find

Q: Find dy/dx. x = 6/t, y = Vte-t

A: The parametric equations are given by x = 6t  y = te-1 To evaluate : The expression of dydx

Q: Find the approximate value of V0.95 using differential

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