Find the volume of the solid obtained by rotating about the y-axis the region bounded byy = x² and between x = 1 andx = 2.

Q: Find the volume oF the solid obtained by rotating about the Y- axis the region bounded by Y= x2 and…

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Q: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 –…

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Q: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

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Q: Find the volume of the solid generated by revolving the region bounded by y=6x−x^2 and y=0 about the…

A: Given : region is bounded by y=6x-x2 and y=0 To find : volume of the solid generated by revolving…

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x°…

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Q: Find the volume of the solid formed by revolving the region bounded by y = (x – 2)2 and y = x about…

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Q: Find the volume of the solid obtained by rotating about the line x=1 the region under the curve y =…

A: Solution:Given    y=x1-x2   0≤x≤1and line x=1To find the volumeFormula:Volume=π∫aby2…

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A: ACCORDING TO BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE…

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 54x – 6x and y = 0 about…

A: Given:y=54x-6x2  and y=0Vx=∫ab 2πx fx dx

Q: Find the volume of the solid obtained by rotating the region bounded by y=7x^2, x=1, and y=0,…

A: Given:-     y=7x2                   x=1                   y=0         about x‐axis. ∴volume v=∫ab…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y = √x and y = x^2…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x² + 2 and y = 4 - x²…

A: Solution:-

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: We have to find out volume generated by two given curves

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We will find the volume of revolution as following.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 1- jx| and…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=x² and…

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Q: Find the volume of the solid obtained by rotating about the line x=1 the region under the curve…

A: Solution:Given    y=x1-x2   0≤x≤1and line x=1To find the volumeFormula:Volume=π∫aby2…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The region to be rotated and the limits will be as follows.

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x 2 – 3x + 2,…

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Q: Find the volume of the solid generated by revolving the region bounded by y = x² + 1, y = x + 3…

A: Given that,  y = x2 + 1y = x + 3 The Axis of rotation = X-axis In the Disk/Washer method strip is…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Find the volume of the solid of revolution generated by rotating about x= -1, the region bounded by…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 56x – 8x² and y = 0…

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Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about…

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: . Find the volume of the solid formed by revolving the region bounded by the curves y = x² and y =…

A: This question is based on application of Integration.

Q: Find the volume of the solid generated by revolving the region bounded by y = 2x – x² and y = x…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x and y= x2…

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Q: Find the volume of the solid obtained by revolving the region bounded by y=x and y=x^2 about x-axis

A: Given: The region between the curve y=x and y=x^2   The volume of the region revolving about the…

Q: Find the volume V of the solid formed by revolving the region bounded by the graphs of y= T – y = 0…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves: x=0 and…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs 7) y = Vx – 2,…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Below is the solution to the question:-

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find the volume of the solid generated by revolving the region bounded by x=1+ y^2 and y=x-3 about…

A: Given: Region is bounded by the curves, x=1+y2 y=x-3 Objective of the question is to find the volume…

Q: find the volume of the solid obtained by revolving the region bounded by y = x - x2 and the x - axis…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 4/T , y=4, and x=0…

A: The volume made by full revolution in the area between the curves y1=f1(x) and y2=f2(x) where…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The equation pf the curves are : C1 : y2 = x ⇒ y = x C2 : x = 2y Axis of revolution : y-axis To…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 , x =…

A: Topic = Application of integration

Q: Find the volume of the solid formed by rotating the region bounded by y = ² and y = x-axis using the…

A: Washer method

Q: Find the volume of the solid obtained by rotating the region bounded, by y x2 - 2x and y = x about…

A: The region bounded by the curves y=x2-2x and y=x about the line y=4 is as shown above.

Q: Find the volume of the solid obtained by rotating the region bounded by y 5x-x2 and y-x about the…

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Q: Find the volume of solid formed when the region bounded by y = x² and y = Vx are revolved about…

A: To find the volume of solid formed when the region bounded by y=x2 and are revolved about x-axis…

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x2 + 2 and y…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs 7) y = Vx – 2,…

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