S [x, y] = 1 dt (x² + y²+xÿ), x(0) = y(0) = 0, x(1) = X, y(1) = Y. = √² dt S Hence show that the stationary path is x = = Xt, y = Yt.

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A: Solve the following

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A: The divergence of a vector field F = <P,Q> is defined as the partial derivative of P with…

Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The total derivative of the function ƒ(x,y) =2x²y– xy is df = (2x² – x)dx +(4xy – y)dy b. df = (4x –…

A: df  = (df(x,y)/dx)dx + (df(x,y)/dy)dy f(x,y) = 2x^2y - xy df(x,y)/dx = 4xy - y df(x,y)/dy = 2x^2 - x

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A: