Prove the following result: the curve y(x) that extremises the functional 1 - 1/² √² + (0²) ² dr = dx x2 and passes through the points (x = 1, y = 0) and (x = 2, y = 1), is a circle. Here y' = d. J[y]

Q: g(x, y) = x- y2 + V3sec-1 (2xy), Po (1, 1), A = 12 i + 5j

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A: We know that; The expression for the directional derivative of the function g in the direction of A…

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