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We begin with the graph of y = $2 and point P'ljn.1 :12} on the graph. Figure 1 shows this graph,the tangent to the curve at P, and the line normal to the curve at point P. The normal line intersects the curve again at point Q. Figure 1: Parabola with tangent and normal lines at point P The coordinates point P are (a, :12). Find the value of a that minimizes the following values. Provide the exact value of a and the minimum associated with that value. 1. The y-coordinate of Q. 2. The length of line segment PC}. 3. The area of the parabolic segment created by the parabola and the normal line. 4. The length of the arc of the parabola between P and