Compute the volume of the solid formed by revolving the regi

Compute the volume of the solid formed by revolving the region bounded by y=x^2, y=4-x^2 about y-4

Solution

y=x^2+3 y=4x x^2+3 = 4x x^2-4x+3=0 (x-3)(x-1)=0 x=1,3 (2) Find the volume of the solid formed by rotating this region around the line x=4. Determine whether shells. radius = (4-x) height = 4x-x^2-3 volume = 2p ?(4-x) (4x-x^2-3) dx --- integrate from 1 to 3 (1) Find the volume of the solid formed by rotating this region around the line y=2. Determine whether e Washers . Volume = p ? (4x-2)^2-(x^2+3-2)^2 dx Volume = p ? [(4x-2)^2-(x^2+1)^2] dx
Compute the volume of the solid formed by revolving the region bounded by y=x^2, y=4-x^2 about y-4Solution y=x^2+3 y=4x x^2+3 = 4x x^2-4x+3=0 (x-3)(x-1)=0 x=1,3

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