Find the volume of the solid obtained by rotating the region bounded by x = -6 + y and x = y about the line -8. Round to the nearest thousandth. 10

Q: the volume of the solid generated when the region enclosed by y = √2x + 8, y = x, x = 0 is revolved…

A: Hi, please find the handwritten form.

Q: 2. Consider the first quadrant region bounded by y² = x, the x-axis and x = 4. Find the volume when…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

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

A: The solution are next step..

Q: - y = V16 – x² and the x-axis about the x-axis

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Q: 10y and y = x with y > 0 X = about the y-axis. Volume

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Q: Find the volume of the solid that results by revolving the region enclosed by the curves x= 10 –…

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Q: Find the volume of the solid that results when the region enclosed by the curves x =1- y? and x = 7+…

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Q: 9. Find the volume of the solid whose base is the region enclosed by y = 2 –- x² and the x-axis and…

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Q: Find the volume of the solid obtained by rotating the region bounded by -2+ y² and x -4. Round to…

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given…

A: We graph the region using a graphing calculator. The red curve is y=10-x^2 The black curve is…

Q: The volume of the solid formed by rotating the region bounded by y = 6/(x^2) and the x-axis from x =…

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Q: Find the volume of the region between the cylinders x² + y² = 36 and x? + z2 = 36.

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Q: 2. Find the volume of the solid generated when the region bounded by y = x? - x and y = x – x² is…

A: For calculating the volume of the solid revolution about particular axis, we will find the original…

Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²…

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = In…

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Q: Find the volume of the solid formed by rotating the region bounded by y = e^(2x) and y = 2Vx from x…

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Q: Determine the volume of the solid formed by revolving the area bounded by y = 4ax and x= a around…

A: Consider the given curve as y2=4ax

Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

Q: Find the volume of the region bounded by y = x², y = 8x, x = 0, and x 2 rotated around the x-axis.…

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

A: Consider the region

Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

A: We need to find volume.

Q: Find the volume of a solid obtained by rotating the region under the graph of the function…

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given…

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Q: What is the exact volume of a solid that is formed by rotating the region bounded by g (x) = †x² +1,…

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Q: What is the exact volume of a solid that is formed by rotating the region ,2 bound by g (x) = x + 4,…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

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Q: 2. Find the volume of the solid that results when the shaded region is revolved around the Y - AXIS.…

A: Volume by revolving a curve.

Q: What is the exact volume of a solid that is formed by rotating the region bounded by g (x) = †x²+1,…

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Q: Find the volume of the region between the cylinders a? + y² = 16 and æ² + z² = 16. %3D

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Q: Consider the region bounded by y = x², y = 9, and the y-axis, for x > 0. Find the volume of the…

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Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , y = 0 , x = 1 ,…

A: Answer

Q: Find the volumes of the solids generated by revolving the region between y = 4Vx and y about a) the…

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Q: Find the volume generated by rotating the region between the graphs of y = 2 - x, x = 0, and the…

A: Consider the provided region, y=2-x,x=0 Find the volume generated by rotating the region between the…

Q: Find the volume of the solid when the area contained by y=x and y=x3 is resolved around y=3/2.

A: We graph the curves using a graphing calculator

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

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Q: 8. Find the volume of the solid that results when the area of the region enclosed by y = 2x2, x = 2,…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: Find the volume formed by rotating the region enclosed by: y = x³ + 1, the y-axis, and y = 9 about…

A: We will use the disk method to evaluate the volume of the solid of revolution.

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

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Q: Find the volume of the solid generated by rotating the region bounded by y = VT, y = 2 – x, and a =…

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Q: 18. Find the volume of the solid obtained by revolving the region under the graph of y = 5- on [1,…

A: To find the volume of the solid obtained by revolving the region under the below graph on [1, ∞)…

Q: 2) () Find the exact volume of the solid obtained by rotating the region B enclosed by the curves…

A: Volume of solid of revolution by the area enclosed by y=f(x) and y=g(x)about x-axis  (where…

Q: Find the volume of the solid obtained by rotating the region bounded by x = -8+ y² and x = 2y about…

A: Given : x=-8+y2 , x=2y  and x=-9. Therefore, -8+y2=2y⇒y2-2y-8=0⇒y2-4y+2y-8=0⇒yy-4 +2y-4 = 0⇒y-4y+2 =…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: A solid is formed by revolving the region bounded by the graphs of y = 5x, y = In (x), y = 7, and…

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Q: 2. Find the volume of the solid generated by revolving the region bounded by the y = ³, y= 0 and x =…

A: Find the volume of the solid generated by revolving the region bounded by the y=x3, y=0 and x=1…

Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , x = 1 , about x = 2

A: We first sketch the region using a graphing calculator.

Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic…

A: Given. gy=-4x2+369z=-5x2+45