Use the shell method to find the volumes of the of the solids generated by revolving the regions bounded by the lines and curves in the following exercises about the given axis (a) x = √√2y x=-5y, y = 14 x-axis

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: Above xy plane

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Q: Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic…

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Q: Evaluate (image) over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 }

A: Given integral is ∭x2+y2+z2xyzdxdydz over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 } Change…

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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Q: The base of a solid is a square with vertices located at (1, 0),(0, 1),(−1, 0), and (0, −1). Each…

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Q: Use cylindrical coordinates to find the volume of the solid that lies within the sphere x² + y² + z²…

A: Solid that lies within the sphere above the xy plane and outside the cone .To Find:Using the…

Q: A fluid has density 900 kg/m³ and flows with velocity = xi+yj + zk, where x, y, and z are measured…

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Q: Find the volume of the solid bounded by the paraboloid z = 8 - 2x - 2y and the plane z= 6 V = (Туре…

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Q: Evaluate // (22 + y?) dA, where R is the region between the semicircles y = v9-x and y = V1- x2

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