3. Use your knowledge of derivatives to find the unknown constants. a) A parabola of the form y = ax2 + bx + c passes through the point (1, 1). The line y = 3x lies tangent to the parabola at the origin. Find a, b, and c. b) For what constants a and b is (1, 6) an inflection point of the curvey = x3 + ax + bx + 1