2. (Volumes of Solids of Revolution). For each of the following plane regions: (a) obtain a description of the region R bounded by the specified curves as a Type I region of the form I= a, R= (v= S(x), y = 9(z)). (or as the union of several Type I regions, if necessary); (b) sketch the region R; (e) sketch the solid Ss of revolution obtained by revolving the region R about the indicated axis/axes; (d) find the volume of the solid S (please make sure to provide some details here, as shown in the table below); (e) round your result in (d) to five decimal places. v = 72/(36 + ), y = 0, 2 = 0, z = 6, about the z-axis; v = e" Va, y = 0, 2 = In(6), about the a-axis; (1) (ii)

2. (Volumes of Solids of Revolution). For each of the following plane regions: (a) obtain a description of the region R bounded by the specified curves as a Type I region of the form I= a, R= (v= S(x), y = 9(z)). (or as the union of several Type I regions, if necessary); (b) sketch the region R; (e) sketch the solid Ss of revolution obtained by revolving the region R about the indicated axis/axes; (d) find the volume of the solid S (please make sure to provide some details here, as shown in the table below); (e) round your result in (d) to five decimal places. v = 72/(36 + ), y = 0, 2 = 0, z = 6, about the z-axis; v = e" Va, y = 0, 2 = In(6), about the a-axis; (1) (ii)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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