Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying in the fourth quadrant, using x as the variable of integration.

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A: I am attaching image so that you understand each and every step.

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A: here 7×2021-13×2021  =2021(7-13)                                       =2021(-6)                    ...

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A: This question can be solved using the concept of maxima and minima.

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Q: Evaluate " edx B. 3 A. 1 C. 2 D. 4

A: To Compute :  ∫0∞e-13xdx

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A: It is known that the derivative at a point represents the slope of the function at that point.

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A: We have to generate an irregular figure with the help of any two functions and then have to determin...

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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Q: S 3x° V1 – 2x3 x3 – 3x if a 0 1. Let f(x) = Evaluate S, f(x)dx

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Q: 1 Arc sin, xdx хах 2

A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

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A: solution:-f(x)=3x51-2x3   if x≤0     x3-3x              if x>0∫-11f(x)dx=∫-10f(x)dx+∫01f(x)dxnow,...

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A: We have to find 'd'. 

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A: Given differential equation is y'+y=sin(ex)

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A: Note:- Final answer is not match from any option i am providing you solution. please check it

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A: We have to find the Integral factor and solve the equation. 

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A: I am attaching image so that you understand each and every step.

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Q: ^

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A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

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A: Let's find. 

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Q: Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" - n=1 converges or diverges.

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Q: The equation of the circle is X² +Y? = 11 what is the center of this circle (11,11) (2,0) 3 4 خيار 6...

A: Center of Circle Formula The center of circle formula is also known as the general equation of a ci...