(a) Evaluate fl, dV, where E is the solid enclosed by the x2 ellipsoid q2 z2 = 1. Use the transformation x = au, y = bv, z = cw. (b) The earth is not a perfect sphere; rotation has resulted in flattering at the poles. So the shape can be approximated with a = b = 6387 km and c = 6365 km. Use part (a) to estimate the volume of the earth. (c) If the solid of part (a) has constant density k find its moment of %3| b2 c2 inertia about the z-axis.

(a) Evaluate fl, dV, where E is the solid enclosed by the x2 ellipsoid q2 z2 = 1. Use the transformation x = au, y = bv, z = cw. (b) The earth is not a perfect sphere; rotation has resulted in flattering at the poles. So the shape can be approximated with a = b = 6387 km and c = 6365 km. Use part (a) to estimate the volume of the earth. (c) If the solid of part (a) has constant density k find its moment of %3| b2 c2 inertia about the z-axis.

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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