plz solve question (a) Differential Geometry Question:2. A surface S in R"(r, y, 2) is defined parametrically in the formu + p2 -u2 + p2 +1' u² + v² + I' u² + p2 +2vX(u, v) =(a) Find points on the surface S such that the tangent plane to S at these points isparallel to the plane r+y =0.(b) Calculate the first fundamental form of the surface S.(c) Calculate the area of the region on the surface S specified by the inequalityu? + v? < a?, a = const.

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Answered: 2. A surface S in R®(r,y, :) is defined…

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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2. A surface S in R®(r,y, :) is defined parametrically in the form u + -1 2u (a) Find points on the surface S such that the tangent plane to S at these points is parallel to the plane z+y = 0.