28 The region in the first quadrant bounded by y rotate about the line x = 4x2 , 3x + y = 7, and the y-axis is = -4. The volume of the resulting solid is:

Q: 3. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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

A: To find : volume from the revolution.

Q: 4. A metal plate, with constant density 2 gm/cm² is bounded by the curve y = x², the x – axis, and x…

A: Given: A metal plate, with constant density 2 gm/cm2  is bounded by the curve  y = x2  and x = 1…

Q: (2 points) The volume of the solid obtained by rotating the region enclosed by y = x², y= 5x, about…

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by the graphs…

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Q: 4. Consider the region bounded by y=x² and y=xe the first quadrant.. What is the volume of the solid…

A: The region is bounded by the parabola y=x2 and the line y=x in the first quadrant. Draw the graph…

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: 7. Find the volume of the solid generated by revolving about the x-axis the region in the first…

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Q: 22 Find the Volume of the Solid of revolution bound al by the circuit x*+y=16, aud the lineSX=0 and…

A: Equation of the circle is given as x2 +y2 = 16 x2 +y2 = 42 Where radius of the circle r is 4 unit…

Q: 4. A solid is obtained by rotating about the x- axis. The curve is given to be as y = 3x² – x3 -…

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Q: 14 The axes of two circular cylinders of radius a intersect at right angles. Show that the volume…

A: Given triple integral  Volume ( V )= 8∫0ady∫0a2-y2dx∫0a2-y2dz

Q: A solid of revolution is formed by revolving about the x - axis the region bounded by the curve y =…

A: Topic = Volume

Q: 3. The region bounded by x = 5y– y² and the y-axis is rotated about the y-axis. USE THE METHOD OF…

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Q: 13. Find the volume of the solid that results when the region bound by x = V5 y2 and the y-axis from…

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Q: Find the volume V of the solid of revolution generated by revolving the region boundedby the graph…

A: We need to find the volume V of the solid of revolution generated by revolving the region bounded by…

Q: 2. Find the volume of the solid whose base is the region bounded between the curve y=x² and the…

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Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

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Q: 4. Find the volume of the solid form by the region bounded by the curves x = y2,x Jy, is revolved…

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Q: 1) Find the volume of the solid generated by revolving the region bounded by the curve y=In(x²+5)…

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Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: 8. The area enclosed between y= (x - 3)² + 1, the x-axis, x = 3 and x = 5 is rotated about the line…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y - axes. If the region is…

A: Introduction: A stable of revolution is a stable parent created with the aid of using rotating a…

Q: 1. The region bounded by the curves y =7x and y=x² is rotated about the x-axis. USE THE METHOD OF…

A: Two given curves are  y=7x  (i)y=x2  (ii) The region bounded by these two curves is R and R is…

Q: 3. The base of a solid is a region bounded by the lines y = 2x−2 and y=−x+4 and the x- axis. If…

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Q: The region between the graphs of x=y^2 and x=3y is rotated around the line y=3.The volume of the…

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Q: 4. A solid is obtained by rotating about the x-axis. The curve is given to be as y = 3x2 – x³. Find…

A: Let's find.

Q: (b) The region bounded by the curve y = x² + 1 and the line y = 3 – r is revolved about the r-axis…

A: As per your query the solution of the problem (b) has been provided below.

Q: ( ) The region between the graphs of y = x2 and y = 2x is rotated around the line x = = 2. The…

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Q: 23. The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through…

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

Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: 1. The region bounded by the curves y = 5x and y=x² is rotated about the x-axis. USE THE METHOD OF…

A:

Q: 46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is…

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Q: 38 Find the area of the region bounded by y = sin r,x 0,x = x and the x-axis. If the region is…

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Q: 2. Find the volume of the solid generated by revolving the region bounded by the parabola y = x…

A: I use washer method

Q: 9. Determine the volume of the solid obtained by rotating the region bounded by y = x - 6x+9 and y…

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Q: d the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Topic:- application of integration

Q: 4. The region in the first quadrant bounded by the x-axis, the line x = π, and the curve y =…

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Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: 12.Find the volume of the solid that is bounded above by the cylinder (z=x) and below by the region…

A: Given equation of cylinder, z=x2 and the equation of parabola, y=2-x2 and the line y=x To find the…

Q: 4. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

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Q: 5. Find the volume of the solid generated by revolving about the x-axis the region bounded by the…

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Q: 2. Find the volume V of the solid of revolution generated by revolving the region bounded by the…

A: Given that y=2x-2x2  Find the volume about x-axis Also the given line is x=2

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: 1. Find the volume of the solid generated when the region bounded by y = cos x-sinx and the x-axis…

A: consider the equation v=∫abπfx2- gx2dxy=cos3x≥y=sin2xf(x)=cos3and g(x)=sinx

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of y = 3x + sin°…

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Q: Q3. The region bounded by the curve y x² and the line y = 3x, is revolved about the line x = -3.…

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Q: 2. Find the volume of the solid form by the region bounded by the curves y = 16 – x, y = 3x + 12,…

A: Volume of solid is 686.96