Question

1. Let R be the region enclosed by the curves y =ra and r = y2 Nole that there is no med to evaluate any integrals in this problem unless you run out of other things to do). a) Find a dy integral for the volume of the solid obtained by rotating R about the r-axis. (Compare with your solution to part f of the last worksheet). b) Find a dx integral for the volume of the solid obtained by rotating R about the y-axis. (Compare with your solution to part g of the last worksheet) 2. Let R be the region under the curve , above the r-axis and to the right of the y-axis a) Find a dr and dy integrals for the volume of the solid obtained by rotating R aout the g-axis b) Find a dr and dy integrals for the volume of the solid obtained by rotatng R about the -axis c) Find a dr and dy integrals for the volume of the solid obtained by rotating R about the line 2. Evaluate the one that looks better d) Find a dr and dy integrals for the volume of the solid obtained by rotating Rabout the line y -1 Evaluate the one that looks better.

Answer 1

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