The integral represents the volume of a solid. Describe the solid. π∫01(y4−y8)dy a) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y2} of the xy-plane about the x-axis. b) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y2≤x≤y4} of the xy-plane about the x-axis. c) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y2} of the xy-plane about the y-axis. d) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y2≤x≤y4} of the xy-plane about the y-axis. e) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y8} of the xy-plane about the y-axis.

Question

The integral represents the volume of a solid. Describe the solid.  π∫01(y4−y8)dy  a) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y2} of the xy-plane about the x-axis.  b) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y2≤x≤y4} of the xy-plane about the x-axis.  c) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y2} of the xy-plane about the y-axis.  d) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y2≤x≤y4} of the xy-plane about the y-axis.  e) The integral describes the volume of the solid obtained by rotating the region R={{x, y}|0≤y≤1, y4≤x≤y8} of the xy-plane about the y-axis.

Yusuf Keller · Accepted Answer

Step 1 π∫01(y4−y8) dy=1 d1=π[(y2)2−(y4)2] dy Axis of solution =y−axis upper boundary x=y2 lower boundary x=y4 region in x-y plane y4&amp;lt;x&amp;lt;y2 0≤y≤1 Answer: (c)

The integral represents the volume of a solid. Describe the solid. \pi\int_{0}^{1}(y^{4}-y^{8})dy a) The integral describes the volume of the solid ob

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