Find the volume of the solid of revolution generated by rotating about x= -1, the region bounded by the functions x=(4- y²)2 and the y-axis.

Q: Find the volume of solid generated by revolving the area bounded by y³=x, y=2 and x=0 about the…

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

A: Given

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

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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 of revolution formed by revolving the region bounded by y = f(x) = 2x -…

A: The  given curve is y=2x-x2. The region is bounded by the given curve, the x-axis. The objective is…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = (x-1)(x-3)²and the…

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

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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 formed by rotating the region enclosed by 4x y = e about the x-axis. +…

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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…

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by the graphs of…

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Q: Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.…

A: Draw the given region as shown below.

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

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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 formed by revolving the region bounded by y = sin 2x, x = 0, and x =…

A: We need to find the volume of solid formed by revolving the region bounded by the curve about the…

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 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 formed by revolving the region bounded by y=6x−x2,y=0 about the x-axis

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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 generated by revolving the region bounded by y=r+3, リ= and エ=5 about…

A: Identify the limits of integration from the region. Since the region is bounded by the lines y=x+3,…

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = -4.5, x…

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

A: Find out the volume of the solid generated by revolving the region by the y=2x-x2 and y=0 about the…

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 curve y 3 - z and x-axis…

A: The volume for solid of revolution for the curve x2=3-y around x=0 on interval 0, 1:The volume for…

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

A: Given : The curves y=x2+4x+5  , y = 0.   To determine : The volume of the solid obtained by rotating…

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

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

A: we know that formula for volume of revoution about x-axis is Volume=π∫abf2(x) dxf(x) =1-x2(a,b) =…

Q: Find the volume of the solid generated when the region under the curve y = x2 over the interval [0,…

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Q: Find the volume of the solid generated by revolving the region bounded by the x2 -y2 = 9; x+y = 9; x…

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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 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 obtained by rotating the region bounded by the given curves about the…

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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 rotating the region bounded by y = sin²(x) and y = 0…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x², x = 1, and y = 0,…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y=2x2+1 and…

A: First draw the both curve and find the region which will be rotated about x-axis.than use disc…

Q: Find the volume of the solid formed by rotating the region enclosed by 5x Y = e + 4, y 0, 0, = 0.9 ,…

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Q: Find the volume of the solid generated by revolving the region created by the curves, y* _y² y² 2…

A: The given curves can be plotted by:

Q: Find the volume of the resulting solid of revolution of: 3. Bounded by: y = 2x, y = 1, y = 3, and…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: Given curve: y= x3 At x=2, y =8 At x=0, y=0 We know that  The volume of the solid formed by…

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

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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 generated by revolving about the line y = -3 the region bounded by the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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 the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

A: Solution of given question is written in below steps.

Q: Find the volume of the solid formed by rotating the region bounded by y = x² + 3, x = 0, x = 2, and…

A: The solid is formed by rotating the region y=x2+3, x=0, x=2 and y=0about the x-axis

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 formed by revolving the region bounded by the graphs of y=x^2+3 and…

A: The Washer Method : The volume of the solid generated by revolving about the x-axis a region between…