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Let H be the hyperboloid implicitly defined by x + y = 1 and consider the lipsoid * + 4y + z = d for a > 2. The solution to the system x2 + y2 - 2 - 1 x? + 4y + z = is the pair of curves tying in the intersection of both surfaces (one above and one below the xy plane). Assume we parametrtze the curve above the xy plane by r(s) = (x(s), (), 2(x)) . Fixing a > 2, let f(s) be a function that describes the height of a point in the curve with respect to the xy plane. O) = (0 prove that s = 0 is a critical point of the function (). b. Consider that the system defines z = 2(x,a), y = y(x, a). Find Vz(0,3). + Drag and drop an image or PDF file or click to browse