Let C be the curve given by the equation y2−x2+xy=2. The curve is shown in the figure below. (a) Treating y as a function of x in the equation of C, verify by computation that y′=x+2y2x−y​ for every point (x,y) on the curve. (b) Find the points on the curve where the tangent line is horixontal. (c) The figure shows two y-intercepts of C, denoted by A and B, respectively. Find the y-coordinateshorizontal of those intercepts. (d) Find the slope-intercept form of the equation of the line tangent to curve C at point B.