Find the volume of the described solid. The solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle = - - V36 - x2 to the semicircle ,- = V36-x2.

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: 42. y = x², y= 12 – x, x = 0, about y : 0, about y = 15 || -

A: We have to sketch the region first.

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: Find the volume of the solid whose base is the semicircle y = √9 - x² where -3 ≤ x ≤ 3, and the…

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Q: Find the volume of the solid bounded by the graphs of x2 + y2 = 9, z = 6x + 5y, and the coordinate…

A: Given, x2+y2=9z=6x+5y The cylinder co ordinate are, x=rcosθy=rsinθz=zdv=rdzdrdθ The first octant can…

Q: Find the volume of the solid formed by rotating the region enclosed by у 3 е + 5, у — 0, х — 0, х —…

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

A: We will graph the region using a graphing calculator  The shaded region is rotating about the x…

Q: Calculate the volume of the wedge cut from the cylinder x2+y2=25 and from the z=3y and z=0 planes,…

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Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis.…

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Q: Find the volume of the solid generated by revolving the region enclosed by x = /30 y2, x= 0, y = -…

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Q: Find the volume of the solid whose base is bounded by the circle x2 + y2 = 16 and whose cross…

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

A: To find the volume of the solid generated be revolving the region bounded by the graphs of y=2x2+1…

Q: Find the volume of the solid of revolution formed by rotating the area under y=9-x2 over [0, 3]…

A: Given curve is y=9-x2 ,[0,3]

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

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Q: Find the volume of the solid whose base is the semicircle y = /25 – x² where –5 < x < 5 and the…

A: Given the base of the solidy=25-x2 , y&gt;0The intersection of the base with the x-axis :Put y =…

Q: Find the volume of the solid formed by revolving the region bounded by the graph of the equation…

A: Volume of the solid formed by revolving the region bounded by the graph of the equation about the…

Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x5, x = 3, and y = 0,…

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

A: Volume of a solid generated by a region under f(x) bounded by x axis and a vertical line x=a and x=b…

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

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

A: Find out the volume of the solid formed by revolving the region bounded by the graphs of the…

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve…

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Q: Find the volume of the solid whose base is bounded by the given function with the indicated cross…

A: 1. Given: x2+y2=4, quarter-circlesx=±2 are the limitsy=4-x2volume =π∫aby2dx

Q: Find the volume of the solid generated by revolving the region bounded by y = 3x – x² and y = 0…

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Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: y = 2x, y= 0, x= 2 I3D

A: We have to find volume when we rotate the lining region around the line y=8.

Q: Find the volume of the solid form by the region bounded by the lines y = 16 – x, y = 3x + 12, and x…

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

A: find intersection

Q: Find the volume of the solid obtained when the region bounded by the x-axis, the y-axis, and the…

A: We have to find volume of the solid bounded by given region

Q: Find the volume of the solid generated when the region enclosed by y = root(x+3), y = root(3x+1),…

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Q: Find the volume of the solid whose base is the region between y =x²and y = 4 and whose perpendicular…

A: Given The given region is y=x2 and y=4. The perpendicular cross-sections are Isosceles Right…

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

A: We have to find the volume of the solid generated by revolving the region bounded by the graphs of…

Q: y = x y = 12 – x, x = 0, about y -2 x > 0

A: Given that: y=x2,  y=12-x  ,  x=0,  about  y=-2,x≥0 The volume of the solid between the curves…

Q: The area of the region bounded by the x-axis and y=7x-x2 is revolved about the x-axis. The volume of…

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

A: Given curves are

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

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Q: . Find the volume of the solid whose base is the region bounded by the semicircle y = 1– x² and the…

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

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

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

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Q: volume of the solid generated by revolving the region bounded by y=sqrt 1-x, x=0, and y=0 about the…

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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: Find the volume of the solid formed by revolving the region bounded by the graphs of the equations…

A: Given y=x ,y=0 ,x=2

Q: Find the volume of the solid whose base is the region enclosed between the curve x = 1−y² and the…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x2, x = 4, x = 5, and y…

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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 by revolving the region bounded by the graphs of the…

A: Volume by Disk method

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x2-4x+5, x=1, x=4…

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: The given solid is bounded between the curve y=9-x2, y=0,  rotating about the x-axis. Volume of the…

Q: Find the volume of the solid generated by revolving the region about the given line. 14) The region…

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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.