Provide COMPLETE and NEAT solutions to the following problems. 1. (40 points) Complete the square (if necessary) to determine whether the graph of the equation is a circle, an ellipse, a parabola, a hyperbola, or a degenerate conic. If the graph is a circle, find the center and the radius. If the graph is an ellipse, find the center. foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. Then sketch the graph of the equation. If the equation has no graph, explain why. a. x2 + 6x + 12y +9 =0 b. 9x2 - 72x - 16y2 - 32y = 16 C. 9x2- 54x + 4y2 + 16y + 61 = 0 d. x2 + y2 - 4x + 2y - 4=0 2. (10 points) A rectangular lot has a perimeter of 42 meters and an area of 108 square meters. Find the dimensions of the lot