A point P is moving along the parabola with equation y=x^2. The x-coordinate is increasing at a rate of 2 ft/min. Find the rate of change of the following when P is at (3,9). (a) The distance from P to the origin. (b) The area of the rectangle whose lower left corner is the origin and whose upper right corner is P.A point P is moving along the parabola with equation y=x^2. The x-coordinate is increasing at a rate of 2 ft/min. Find the rate of change of the following when P is at (3,9). (a) The distance from P to the origin. (b) The area of the rectangle whose lower left corner is the origin and whose upper right corner is P.