Find the Volumes for the fallowing solids whose heights ave defined by ECX y) and bases are the regions bounded by the fottowing fin Etion in x-y plate R: and X+y=2

Q: Calculate the volume of one of the wedge-like objects formed by cutting the cylinder x²+9y²=a² with…

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Q: Sketch the region bounded by the curves y = 9 Vx, x+y = 10 and y = 6 then find the volume of the…

A: Given that y=9x,x+y=10 and y=6. To find the volume let's use washer method. The diagram for the…

Q: Find the area of the part of the plane  z = ax + by + c  that projects onto a region in the…

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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: 3) Use a triple integrol to find the volume of the tetrahedron enclosed by the coordingte planes ond…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 16 that lies above the cone z = √√x²…

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Q: A solid that is feeteted obtained by rotating, about the line ro4, the region bounded by the curve…

A: Identify the limits of integration from the region. Since the region is bounded by the curve y2=x3…

Q: a) Find the intersection point between curves 2=-2 and y=-/2x+2. Hence, find the area of the…

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Q: Find the volume of the solid bounded by the ellipic paraboloid z = 3 + 4x2 + 2y², the planes x = 2…

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Q: Find the volumes of the solids generated by revolving the regions bounded by y=6-2x-x^2, and y=x+6…

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Q: Find the center of mass of solid revolution if an area in Ist Quadrant (Kuadran Pertama) bounded by…

A: Given functions are Intersection points Area of region is Centre of mass revolution

Q: Find the volume of the solid enclosed between the cone z = hr? and the plane z = 2h.

A: The variables in cylindrical coordinate systems are r, z and θ. In this problem, we have to find the…

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: 3)Sketch the region enclosed by the given lines/curves and find the area of the region. a) y =…

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Q: Use Pappus's theorem for surface area and the fact that the surface area of a sphere of radius d is…

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Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Using washer method

Q: 6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y=2 and the 3…

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