Q4) Find the volume of the solid generated by revolving the region between the x-axis and the curve y x- 2x about a. The x-axis b. The line y -1 c. the line x 2 d. the line y= 2.

Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y=(x-2) and…

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Q: Q22) A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x…

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Q: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola…

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Q: 2. (a) Based on the diagram 1, find the intersection points between curves y=r' and Hence, find the…

A: The point of intersection of two curves is the place where the two curves meet.y=f(x) To find the…

Q: Q3 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

A: The volume of the generated by revolving the region between where and about y-axis is given by,…

Q: b) [ Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: Q2) Find the volume of the solid generated by revolving the 3x4 and the lines region bounded by the…

A: Apart from triple integration, volume of a solid can be determined using single variable…

Q: Find the volume.

A: Find the region R in the x-y plane.The x-axis is y = 0 and y axis is x = 0 line.R is the region…

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

A: Consider the triangular region bounded by the lines  y=2xy=0x=1 To find: the volume of the solid…

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by the line (y= x+3 ),…

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Q: Q2) A- Find the volume of the solid generated by revolving region bounded by curve y= Vx +1 and…

A: The volume of solid generated by fevolving is: The formula for volume generated by revolvingv=∫abπ…

Q: Find the volume (in units3) of the solid generated by revolving the region under the curve y = 4e−2x…

A: I use cylindrical shell method to find volume about y axis

Q: Q.5 Find the volume of the solid whose base is the region enclosed between the curve x=1-y and the…

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Q: Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by,…

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Q: 2. Sketch the graph and shade the region enclosed by the curves y = x² and x axis from x=0 x=2. Find…

A: Given region enclosed by - y = x2 x =0 x =2

Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis. About…

A: The volume of the solid generated when the first given region is revolved around the y-axis is to be…

Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y= (x- 2)° and…

A: We first find the intersection of these two curve

Q: Q.4: Find the volume of the solid generated by revolving the region between the parabola x = (y –…

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Q: (d) Find the volume of the solid generated by revolving the region in the first quadrant bounded…

A: Solution:Giveny=2 and y= sec x tan xTo find the volume of solidFormula:Volume=π∫ab(y1-y1)2dx∫k…

Q: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by 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: Q4 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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Q: 11. Find the volume of the solid generated by revolving the plane region bounded by y = 4x2 and y =…

A: We have, y=4x2y=10x-x2   It is known that volume of the solid is generated by revolving the bounded…

Q: Q4 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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Q: Let Vis the volume of the solid of revolution expressed by the equation V = 4n fx²e²dx. Find the…

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Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

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Q: Q3 By sketching the graph, find the volume of the solid generated by [10] revolving the region…

A: In the question we have to find volume of region bounded by both curves.

Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

Q: 4. Find the volume of the solid generated by revolving the region between the y – axis and the curve…

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Q: Q4. Find the volume of the solid generated by revolving the curve r- between y=1 & y=4 about the…

A: We have been given the function which varies between y = 1 and y = 4 and revolves around y-axis.…

Q: Q5) Fid the volume of the solid generated by revolving the region between the curve y = x2 +1 and…

A: Volume

Q: What is the volume formed by revolving about the x-axis the area bounded by the lines x = 1, x = 5…

A: the volume (V) formed by revolving the curve y=f(x) about the x-axis bounded by x=a, x=b (b>a) is…

Q: 1- Find the volume of the solid obtained by rotating the region bounded by the curve y = 4 - r and…

A: The volume of the solid of the revolution of the curve y=f(x) obtained is  Volume=∫abA(x)dx  or…

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: Q3\ Find the volume of the solid generated by revolving the region between the y-axis and the curve…

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Q: (c) Compute the volume of the solid of revolution of R about the y axis.

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Q: Ex/ Find the volume of solid generated by revolving the region enclosed by x = y² and x =y %3D 1-…

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Q: Q4 By Sketching the graph, find the volume of the solid generated by revolving the region given by,…

A: Details solution is given below:

Q: The volume of the solid generated by revolving the curve x = 4, about the y-axis between y= 0 and y…

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Q: 2. Find the volume of the solid generated by revolving the plane region bounded by .2 x2 + 16 1 %3D…

A: Answer

Q: (b) Determine the volume of the solid that results when the region enclosed [2] by the curves y = x²…

A: Solution:Given   y=x2+2   and y=4-x2and th line y=3To determine the volume of the…

Q: Q3 By sketching the graph, find the volume of the solid generated by revolving the region bounded by…

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Q: a, Find the points of intersection of the curves y= x² +6 and y= 5x. %3D X, = and x2= %3D b, Find…

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Q: A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x = 2

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Q: Find the volume of the solid of revolution when the curve y = 2r? - 2 is revolved around the x-axis…

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Q: (b) The volume generated by i. rotating the area enclosed between y = 1- 2² and y = 0 by the y axis.

A: Given that the area is between curves y=1-x2 and y=0. Rotated about y-axis.

Q: Q2: Find the volume of the solid generated by revolving the region between the curve y = x and the…

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Q: 4. Find the volume of the solid generated by revolving the region in the first quadrant bounded…

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