3. [25 pts] SHORTEST SEGMENT Consider the graph of f(x) = - for r > 0. Also consider the tangent line to the graph at a point P(a, a 2). If this tangent line is cut off at the r- axis and y-axis, we get a line segment between (0, y) and (z, 0). Determine the point P(a, a-2) at which this tangent line segment is the shortest line segment possible. That is, minimize the length of the line segment between (0, y) and (r, 0) tangent to the graph of y = 1/x2. f(x)= (0, y) P(a, f(a)) (x,0) Point P: shortest length