2. Let f: R2 > R be a smooth functimi. Assume that f(0) = 0 and (Vf)(0) = 0. Let _ ram) 12(0) Hf ' (m0) aim) be its Hessian at 0. Let I"; g R3 be the graph of f. Consider the regular parameterization r0\": U) = (\"a U: f6\": 13)) of Ff. Let B = {ru(0), 13(0)} be the induced basis of of Toff. 2.1. 5 points. Show that H J: is the matrix of the shape Operator of l"; at 0 with reSpect to B. 2.2. 2 points. Cenclude from the previous part that the Gaussian curvature of 1"]: at O is det(Hf)