Use implicit differentiation to find the points where the parabola defined by x^{2}-2xy+y^{2}-6x+2y+13 = 0 has horizontal and vertical tangent lines. The parabola has horizontal tangent lines at the point(s) . The parabola has vertical tangent lines at the point(s)

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)