Question 5GS2GS2

Focus on greater investment in R&D

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Japleen Kaur

AIR 3882025

Subject & Paper

GS2GS2

Topic

Government Policies

Science and Technology

Research Investment

Linked PYQ

If u = sin^{-1} sqrt[(x^{1/3} + y^{1/3})/(x^{1/2} + y^{1/2})], then show that sin^2 u is a homogeneous function of x and y of degree -1/6. Hence show that x^2 (d^2u/dx^2) + 2xy (d^2u/dxdy) + y^2 (d^2u/dy^2) = (tan u)/12 (13/12 + tan^2 u/12)

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