Find the volume generated by revolving the region bounded by y = x2, y = 0, and x = 2 about the following. (a) the x-axis 6.4л units3 (b) the line y = -2 8л X units3 (c) the line x = 3 168.8T units3

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -6 + y? and x = y about…

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Q: 3. Find the volume of the solid generated by revolving about the line x 3 the region in y = 2x - 2…

A: To find : volume from the revolution.

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Q: Y= x² x+2 and y=x²-x X revolved about the y-axis

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Q: 5.) Find the volume generated by revolving the area bounded by the curve y2=4x, x = 0 about the line…

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Q: 5. Find the volume generated by revolving the region bounded by y = 9- x2 and y = 0 about the…

A: Given: The region bounded by y=9-x2 and y=0 is revolved around x axis. Let the bounded region be R.…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

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Q: Find the volume generated by the revolving the region bounded by y = x, and the lines y = 3, and x =…

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Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

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Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: The given equation is y=e-x2. Find the volume of the solid rotated about the y-axis.

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and…

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply…

Q: 1. Find the volume generated by revolving the area bounded by the curve y = (1 – x²)² and the x–…

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Q: 14. Find the volume of the solid region generated by revolving the region bounded by y = 1-x² and y…

A: Here given, y=1-x2 and y=0, Then 1-x2=0⇒x2=1⇒x=±1

Q: 3) Determine the volume of the solid obtained by revolving the region bounded by 2x + y – 6 = 0, x-…

A: Volume of revolution

Q: Find the volume generated by revolving about the line y – 1 = 0 the area bounded by the curve x2 =…

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Q: 13. Find the volume of the solid that results when the region bound by x = V5 y2 and the y-axis from…

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Q: 1. Find the volume generated by revolving about the x-axis the area bounded by the lines y 2x + 1, y…

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Q: 4- Find the volume of the solid generated by revolving the region about y-axis,the region in the…

A: Draw the graphs of y=x2, x=2 and identify the region bounded by the curves. The required region is…

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

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Q: The region bounded by y = 2x – x2, and y = 1 is revolved about: 1- The line x = 1 2- The y-axis Find…

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Q: Find the volume formed by revolving about the x-axis the area bounded by the curve (x + 1)^2 = 4(x -…

A: Given data:- Equation of curve, x+12=4x-1 Line, y=4

Q: Find the volume of the solid of revolution generated by revolving about the​ x-axis the region under…

A: Given: y=10x from x=10 to x=19 To find: The volume of the solid of revolution generated by revolving…

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

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Q: Find the volume generated by the revolving the region bounded by y = x, and the lines y= 3, and x =…

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Q: Find the volume of the solid generated by revolving the region about the y-axis. The region in the…

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Q: 3. Compute the volume of the solid obtained by revolving the area between the graphs of y = x² and y…

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Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 7y and y^3= x with y…

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Q: Find the volume generated by revolving about y- axis the area bounded by the following curves y = x²…

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Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

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Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x² +1, x=0, y=0 and x=2…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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

Q: The region in the first quadrant bounded by x2 + y² = 1, x 2, and y = 1 is revolved about: 1- The…

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Q: Q1: Determine the volume of revolution obtained by the region bounded by y = Vx +3, y = v-x+3, y = 0…

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Q: 5. Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about…

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Q: Find the volume generated by revolving the area 1 bounded by y -, x = 3, x = 9, and y O about the…

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

A: I use washer method

Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +…

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Q: Find the volume generated by revolving about the x-axis the regions bounded by the following graphs:…

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Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

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

A: From the formula of the region  rotating about a line parallel to y axis.( Disc method) after doing…

Q: Y = x- 5x + 6 y=0 revolved about the y-axis

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Q: 2. x = 4y – y² and x = 4 – y -

A: follow next step

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3 The region in the…

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Q: 9. Find the volume of the solid generated by revolving the region bounded by the lines and curves y…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x² +1, y =…

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Q: nd the volume generated by revolving the region bounded by y = 3Sqrt(x-1) and y=x-1 about x=12

A: Find the volume generated by revolving the region bounded by y = 3Sqrt(x-1) and y=x-1 about x=12