The extremum for the variational problem:- SLy + 2yy'-16y"Jdx; y (0)-0; v =1 occurs for the curve (a)Y=sinax (b) Y=VZsin(2x) (c) Y-1-cos4x (d) Y- 1-costx need correct option with clear explanation

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A: Thanks for the question :)And your upvote will be really appreciable ;)