Find the volume of the solid whose base is the triangle in the xy-plane bounded by the x-axis, the line y = x and the line x = 1, while the top of the solid is the plane z = 3 – x - y.

Q: Find the area of the surface, which is part of the surface z = 1 + 3x + 2y2 that lies above the…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 81 that lies above the cone z =…

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Q: Find the surface area of the part of the plane z = 4 + 3x + 7y that lies above the rectangle [0, 6]…

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Q: Find the area of the surface cut out from the bottom of the paraboloid z = x² + y² by the plane z =…

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Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder z² + y²…

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Q: Find the maximum volume of a rectangular box with faces parallel to the coordinate planes if one…

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Q: 3. Technology required. Find the missing measurements. 35 A 21 What is tho Lon

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Q: 3. Find the area of the part of the surface x 2z + y° - 3, that lies above the triangle in the…

A: Given, x=2z+y2-3, i.e. z=12x-y2+3. As it is known that the surface area is given as,…

Q: Find the surface area of the part of the paraboloid z=2x² +2y² that lies under the plane 2=16.

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Q: Graph the solid that lies between the surface z= 2xy/( x2 + 1) and the plane z =x + 2y and is…

A: Given surfaces are z=2xyx2+1, z=x+2y  and are bounded by planes x=0 , x=2 , x=-1 , y=0 , y=4. To…

Q: Find the surface area of the part of the plane z = 6 + 4x + 7y that lies inside the cylinder x² + y²…

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