Calculate the volume of the solid formed when the area bounded by the curves y=x and y= Vx is rotated about 1y=v. a) х-аxis b) у-аxis

Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

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Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A: If  you like the solution then please give it a thumbs up.. The Answer is:     Volume = 4π3

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

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Q: b) use cylindrical shell to find the volume of the solid generated when the region under y= x , y=…

A: Volume of revolution

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: Find the volume of the solid generated by revolving the plane region bounded by the equations about…

A: Disk method volume bounded by x-axis and y-axis

Q: Find the volume of the solid generated when the region enclosed by the lines y = 2x, y method or…

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated…

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

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Q: b) use cylindrical shell to find the volume of the solid generated when the region under y= x , y=…

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Q: b) use cylindrical shell to find the volume of the solid generated when the region under y= Vx , y=…

A: Given :  System of equations which generates solid, y = x , y = 2 , x = 0 is revolving around x = 4.…

Q: Find the volume of the solid formed when the region bounded by the curve y2=x, the line y = 1, and…

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Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

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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 triangularregion bounded by the lines y =…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

A: By Disc/ washer method, Since there is formation of disc, Volume of solid generated by revolving the…

Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

A: Consider the following figure:

Q: Find the volume generated by rotating the area bounded by 1 y = x = 2, x = 7, and y = 0 about the y…

A: To find the volume of the solid generated by rotating the area bounded by y=1x3+5x2+4x, x=2 , x=7…

Q: Find the volume of the solid generated by revolving the region bo x-axis. 16) y = √ , y=0, x= 1, x =…

A: Introduction: To determine the volume of specific solids, one can utilize the disc method, an…

Q: Find the volume of the solid generated when the region between the lines: x = 3, x = 5, y = 2,y = 4…

A: Given: The line equations are x=3, x=5, y=2 and y = 4   To find: The volume of the solid generated…

Q: Find the volume of the solid generated by revolving the region bounded by x2/3 + 1,0 < < 8, about…

A: Follow next step

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region pounded by y…

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

A: Given: y=x2+1 To find: y=0 x=2 y=5

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves y…

A: Volume by revolving curve around x axis.

Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

A: y=x2, y=0 x=2 Volume V will be- V=π∫01x2dx

Q: 2. y = x2, y = x³ , revolved at y axis

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Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = 1.32, x…

A: The given function is: f(x)=tanh x

Q: Find the volume generated by revolving the plane area generated by the equations y = ex^2, y=0, and…

A: To find the volume of solid formed when the region bounded by y=e-x2, y=0 and  x=0  about the…

Q: Find the volume of the solid whose base is the triangle enclosed by y-axis, y = 3, and y above…

A: First draw the base of the solid and find the cross section area then integrate.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Solve the following

Q: Find the volume generated when area bounded by axes and line 3x + 2y = 12 is revolved about y-axis…

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Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about x = -1

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Q: Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=9x, x≥0 about the…

A: The equation of curve y=x3 , y=9x and x≥0 Washer method formula  To draw graph

Q: 5. y = 4x – x², x = 0 , y = 4 , revolved at y axis -

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Q: use a theorem of Pappus to find the volume generated by revolving about the line x = 5 the…

A: “Pappus’s theorem for volumes:

Q: Find the volume of the solid generated by revolving the plane region bounded by the equations about…

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Q: 3. y = 4x, y = 2x – 4; about y-axis

A: Here we find volume.

Q: b) use cylindrical shell to find the volume of the solid generated when the region under x= y2 , x=…

A: We will find out the volume of solid of revolution by cylindrical shell method.

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

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Q: 6. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

A: Here is the solution of the given problem. Cylindrical Shell Method to find out the volume of a…

Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

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Q: b) use cylindrical shell to find the volume of the solid generated when the region under y= vx , y=…

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Q: Find the volumes of the solids generated by revolving the region in the first quadrant bounded by…

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Q: Describe that part. of the device gdobe which lied between u=0 volume of rotation and na 2/3. and…

A: The volume of solid of revolution is calculated using the formula Volume=∫abA(x)dx.  Here, a is the…

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A: Find the volume of the solid generated when the area bounded by the given curves and lines is…

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A: x=9-y2, y=1, y=3, x=0 about the y-axis

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed between x…

A: We have to find the volume of the solid generated when the region is enclosed between x = y, y = 0,…