36. Find the volume of the solid formed by rotating the region bounded by the curves y = x2, y =1 about the line y = 2: 24 7 a. b. 457 C. 527 9. 567 d. 15 63 е. 11

Q: If the volume of the solid obtain by rotating the region enclosed by the curves y = 2 x2 and y = 0…

A: Integration of curves help us to find volume of curves or area under the curve. It becomes quite…

Q: Find the volume (in cubic units) of the region bounded by the curves (x – 1) = 20 – 4y and the lines…

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Q: 2. Solve for the volume of solid of revolution formed by rotating the area bounded by y = x² + 2, x…

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Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

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: 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is…

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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…

A: Given area is bounded by: y2=4x and x=0. The area is revolving around the line y=4. From y2=4x we…

Q: 1/ Draw the functions , 2/ Find the volume of the solid generated by revolving region bounded by…

A: the given question is taken from calculus in which we have to find the volume of solid generated by…

Q: 3. Find the mass and the center of mass of the lamina occupying the region D, which is the region…

A: A

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

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Q: 3. Find the volume of the solid generated by revolving the area bounded by the curve y = x' and the…

A: Topic:- application of integration

Q: The volume of solid of revolution generated by revolving the area bounded by curve y=x and the lines…

A: The curves given are  y=x2  &  y=0

Q: 4. Obtain the volume of the solid that occur when the small side of the circle x +y =2 and the…

A: Graph of the given curves looks like this,

Q: What is the volume of solid of revolution between the curves y=x+1 andy 0 around the x-axis on…

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

A: Consider the region

Q: 1. Calculate the volume bounded by y = x², y = 0 and x = 2 rotated about the specified line, using…

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Q: 2. Set up the integral that will give the volume of the solid generated when the region bounded by…

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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 of the solid generated by revolving the specified region about the given line. R…

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Q: 5/ Find the volume of the solid generated by revolving the area enclosed by y= x2, y=0, x-1 about 1)…

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Q: 6. Consider the region created by revolving y = 4 +x, y = 3 – x, x = 0, and x = 2 about the y -axis.…

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

A: Topic = Volume

Q: 2) ( ) Sketch and find the exact volume of the solid obtained by rotating the region B 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: y = x² +9 %3D y= 18

A:

Q: 3. Find the volume of the solid generated by revolving about the line x = 3 the region in y = 2x2 –…

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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 of the solid generated by revolving the specified region about the given line. R…

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Q: 1. Find the volume of the solid generated by rotating the region bounded by the curves y = x and y =…

A: We have a region bounded by the curves y=x2, y=x2 which is revolved about the line y=-2  The volume…

Q: 4. Use cylindrical shells to find the volume of the solid generated when the region enclosed between…

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Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: 2. Find the volume of solid generated by revolving te area enclosed by: x=y2+1, x=0, y=0 and y=2…

A: The area enclosed by x=y2+1, x=0, y=0 and y=0 The shaded portion is the required region

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: Find the Volume of the šólid generated by revolving the region bounded by the given lines and curves…

A: We know that volume of solid obtained by revolving the curve y=f(x) , x-axis, x=a and x=b about…

Q: 4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1…

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Q: 4) Calculate the volume of the solid E bounded by the parabolic cylinders 2 = y? – 5 et z = 4 – x².

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

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

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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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