Question: 3. (a) A solid is obtained by rotating the disc in the yzplane with radius 1 and center at y = 1, z = 0

3. (a) A solid is obtained by rotating the disc in

3. (a) A solid is obtained by rotating the disc in the yzplane with radius 1 and center at y = 1, z = 0 about the zaXis. Sketch the graph of the solid. Then write sets of inequalities in both rectangular and cylindrical coordinates to describe the region occupied by this solid. (b) Rewrite each of the following equations into the specied coordinates. (i) 332 l y2 z2 = 1, rectangular > spherical (ii) 7" = cot 6 csc 6 sec 2, spherical > rectangular (iii) 22 = T2 cos 26 l 9, cylindrical > rectangular

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