Assignment: Consider the region bounded by the parabolas: 2 2 y = x² + 4x + 3 and y = x + 2x + 3. Calculate the volume of the solid when the region is revolved about the y-axis.

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

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Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: x^2 + 5x - y = 6; y = 0; x = 3

A: Please see the attachment  According to the guidelines we are supposed to do one problem.

Q: Determine the volume when the region, bounded by the given equations,

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Q: and above the region D in the ry-plane given by D = {(x, y) E R² | 0 < y < 1, y < z< Vy}.

A: Given  Surface : z=e5xx-x5 Region D=x,y∈R2| 0 &lt;y &lt; 1, y &lt;x &lt;y5

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

A: Metal casting limits is x-y=4,   x=y2-4y+4 (about x -axis) Now v=π∫x1x2fx2-gx2dx

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: 8. 9. 2- -5 5. 10 -2-

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent