Use double integration in Cartesian coordinates to find the volume of the solid enclosed by the planes z=0 and z=1-x, and bounded laterally by the curves y² = 9-x and y =9-9x ?

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

A:

Q: What is the volume of the solid rotated about the x-axis under the curve y = 2x -1 from x = 1 to x =…

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