Let x = x(u, v) be a regular parametrized surface. A parallel surface to x is a parametrized surface y(u, v) = x(4, v) + aN(u, v), where a is a constant. a. Prove that y, A Y, = (1 – 2Ha + Ka²)(xu ^ X,), where K and H are the Gaussian and mean curvatures of x, respectively. b. Prove that at the regular points, the Gaussian curvature of y is K 1– 2Ha + Ka²

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