Find the volume enclosed by the paraboloids z=sqrt(x^2+y^2) and z=2-x^2-y^2 in the 1st octant

Q: Find the surface area of the portion of the half ball with a radius a which cuts off by the cylinder…

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: Find the volumes of the solids z=1-r z=-sqrt(1-r^2)

A:

Q: Determine the volume if the area common with y^2 - 3x + 7y = 8 and x^2 - 4x +3 = y^2 is revolved…

A: Integration of function under certain limits with respect to any of the axis gives the area under…

Q: Find the abscissa of the centroid of the area bounded by the parabola y = x^2 and the line y = 2x +…

A: x=∫∫R x.ρ(x,y) dA∫∫R ρ(x,y) dA ,   y=∫∫R y.ρ(x,y) dA∫∫R ρ(x,y) dA  Centroid=( x  ,y )

Q: Determine the volume if the area common with y^2-3x+7y=8 and x^2-4x+3=y^2 is revolved about the…

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Q: A body T with the parameters  (1/2)(sqrt(x^2)+(y^2))≤z≤sqrt(16-(x^2)-(y^2) Use the sphere…

A: The given problem is to find the volume of the body formed by the cone and spherical region, we have…

Q: Find the area and centroid bounded by y=-x^2+6, y=x^2+3x. Graph

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the…

A: Given curve is y2=4x ,x=1

Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: find the volume of an ellipsoid having the equation x^2/25 + y^2/16 + z^2/4 = 1

A: Let's find.

Q: enclosed

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Q: Find the volume of the solid enclosed by the paraboloids z=1(x^2+y^2)and z=18-1(x^2+y^2)

A: We find the volume of given solid by setting up the integral of volume element in cylindrical…