04. Show that the Gauas and mean curvatures on, X-(u+v,u-v, uv) at u=1, v=1 are K=1/16 and H= JI. Show that the lines of curvature of the parabola xy az lies on the surface is Sinh- (/2) Sinh-'/½) = constant

04. Show that the Gauas and mean curvatures on, X-(u+v,u-v, uv) at u=1, v=1 are K=1/16 and H= JI. Show that the lines of curvature of the parabola xy az lies on the surface is Sinh- (/2) Sinh-'/½) = constant

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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Question

1 Show that the Gauas and mean curvatures on, X (u+ v,u-v,uv) at
u1, v=1 are K-
1/16 and H= 5
1.
Show that the lines of curvature of the parabola xy az lies on the surface is
Sinh-("/2) ± Sinh-'(/½) = constant
(15)
Shot on Y11
2021.04.10 16:06
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