Find the volume of the solid form by revolving the region by the r-axis, the y-axis 3²=1 9 and + = 1, y 20 around the z-axis.

Q: Use cylindrical coordinates to find the volume of the solid. Solid inside x² + y² + z² = 16 and…

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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: Find the volume of the solid of revolution formed if the area enclosed between y = x, y = (x – 2)'…

A: Volume by Disk method

Q: (a) Between 1 and the disk x²+ (1+x² +y*) (b) Between % = 1 and the entire xy-plane. (1+x* + y?)*

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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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…