Find the volume of the solid generated by revolving about the line x = 3 and the region is bounded by y = 2x2 − 2 and y = x2 + x.

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 4x - x and y = 0 about…

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Q: 2. Find the volume of the solid generated by revolving the region bounded by y = vx – 1, y = 0 and…

A: Here we have to find the volume of the region bounded by ,y=0 and the line x=5 about the X-axis.

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

A: Consider the graph:

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

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: Find the volume of the solid generated by revolving the regionbounded by y = √x and the lines y = 2…

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Q: Find the volume of the solid generated by revolving about the line x = -4 the region bounded by that…

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Q: Find the volume of the solid generated by revolving the region bounded by y=3/(2√x), y=0 & 1s XS4.

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Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

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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 bounded by the graphs 3) y = -x² +1…

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Q: Find the volume of the solid generated when the region bounded by y = x² – x and y = x - y2 is…

A: Introduction: If the area of the ring is A=πOuter radius2-(Inner radius)2, the volume of solid…

Q: Find the volume of the solid obtained by rotating the region bounded by y = −10+ 6x - x², x = 1 and…

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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 when the region bounded by y = 9 – x and y = 2x + 6 is…

A: To find the volume of solid generated by revolving around the x axis

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: Determine the volume of the solid of revolution obtained by rotating the region bounded by y = 7x° –…

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Q: 3. Determine the volume of the solid obtained by rotating the region bounded by y = 2vx – 1 and y =…

A: Note: according to our guidelines we can answer only third question because student asked that…

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and…

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line…

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 generated by revolving the region between the parabola x=y^2+1 and the…

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Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

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

A: Formula Used: Volume of the solid obtained by revolving the region bounded by y=f(x) about x-axis…

Q: What is the volume of the solid generated when the region bounded by the graph of x = √y - 2 and the…

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Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

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

A: We need some modification I'm original formula to solve this problem. Let's see what modification we…

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 y = 2x – x² and y = x…

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and…

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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

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Q: Determine the volume of the solid obtained by rotating the region bounded by y = 2vx – 1 and y =x-1…

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Q: Find the volume of the solid generated by revolving about the line x = -4 the region bounded by the…

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

A: Consider the provided equation, y=e-3x.y=0,x=0 and x=2 Find the volume of the solid generated by…

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

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Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 3ky + k² = 0 and…

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line…

Q: Find the volume of the solid generated by revolving about the y-axis and the region is bounded by x…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x and y=xl/2) about the…

A: Solution:Giveny=x and y=x12To find the Volume of the solidFormula:V=2π∫abR(x)h(x)dx

Q: Find the volume of the solid obtained when the region bounded by the curves y =−x^2 + 2x + 3, y = 0…

A: Given: The curve is: y=-x2+2x+3 and y=0 Now, the point on x, when y=0 are:…

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y=1/x, y=2/x,…

A: This question is based on application of integration.

Q: Find the volume of the solid generated by revolving the bounded region between the parabola x = y²…

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Q: Find the volume of the solid generated by revolving the region bounded by y=x^2-2x+2, x=0, x=1 and…

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Q: Find the volume of the solid generated by revolving the region bounded by y = x2 - 2x + 2, x = 0, x…

A: Given: The region is bounded by the curves : y=x2-2x+2, x=0, x=1 and y=1 We have to find the volume…

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

A: To Determine: Find the volume of the solid generated by revolving the region bounded by the graphs…

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: Find the volume of the solid generated when the region bounded by y=x²-x and y=x-x² is revolved…

A: bounds are  x = 2 ,   y=x²-x   and   y=x-x² y = -(x - x2) y = -y y = 0 =>  x =>   0 = x - x2…

Q: Find the volume of the solid generated by revolving the regionbounded by y = √x and the lines y = 2…

A: The curve given is  y = √x and the lines y = 2 and x = 0 about the line y = 2. The graph of the…

Q: Find the volume of the solid obtained by rotating the region bounded by y-2vx-1 and y=x-1 about the…

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Q: Find the volume of the solid generated by revolving the regionbounded by y = √x and the lines y = 2…

A: To find the volume of the solid generated by revolving the region bounded by  y=x and the lines y=2…