Find the volume of the solid enclosed by the parabolics Z= 4CX²+y²² Jand 2 = 32- 4(x² + y²)

Q: Find the volume generated by revolving the region bounded by y=−x^4+3x^3, y=0  revolving about the x…

A: The given problem is to find the volume generated by revolving the region bounded by given curves…

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 45-5y² and the plane x +y…

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Q: Use the Theorem of Pappus to find the volume of the given solid. the solid obtained by rotating the…

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Q: Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of…

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Q: Find the volume of the solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

Q: Find the volume of the tetrahedron bounded by 2x−y+z = 4 and the coordinate planes.

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Q: Find the approximate area of ​​the part of the plane x=z that is between the planes y = 0 and y = 6…

A: As per the question we have to calculate the area of the plane surface x = z bounded by the planes y…

Q: The region bounded by f(x) = -4x² + 32x + 36, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: fx=-4x2+32x+36, x=0 and y=0. We have to find the volume of solid revolution.

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: Q3: Find the volume of the solid enclosed by the parabola y = x² +z? and the cone y = 32 – x² - z2.

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Q: Q6/ Find the volume of the parallclogram-sided determined by: u- -3i +7j +5k, v -3i + 7j-3k, and w-…

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Q: Find the area of the portion of the unit sphere inside the cylinder x2 + y? = 1/2 and z > 0. Select…

A: The equation of the sphere is x2+y2+z2=r2. Here, r is the radius of the sphere. The equation of the…

Q: The region bounded by f(x) = 2x² + 14x + 36, x = 0, and y the volume of the solid of revolution. 0…

A: Given that the region bounded by                     and is rotated about the y-axis.To find the…

Q: CALCULATE THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BY 4y=x² - 4x + 8 AND THE LINES…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 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

Q: Find the Volume of the 2 genrated by revolving the region in the first quadrent that is above the…

A: we'll use the method of cylindrical shells. This method involves integrating the volume of each…

Q: Find the volume of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A: We want to evaluate volume of solid below by the paraboloid z = x2 +  y2  and above the…