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Consider the function f(:r, y) = my 2.1) + 3y. (a) (6 pts) Find the Cartesian equations of the level curves f (11:,y) = 5, f (17, y) = 6 and f (say) = 7, and determine what curves they are. Then, draw them in the Cartesian plane. As for the plane, draw the axes and indicate a scale, as your level curves need to match the scale and the equations you found. For clarity, label each level curve, or draw each level curve with a different color. (b) (3 pts) Consider the trace given by the intersection of the graph z = f (:r, y) and the plane y = :5. Similarly, consider the trace given by the intersection with the plane 3; = :c. Determine what these curves are, and draw their projection in the (ac, z)plane. As for the plane, draw the axes and indicate a scale, as your plot needs to match the scale and the equations you found. For clarity, label each graph, or draw each graph with a dierent color. (c) (2 pts) What quadric surface is z = f (33,31)? Explain, making use of your ndings in part (b). (d) (1 pt) Find all the points where both partial derivatives %5 and %E are 0. (e) (2 pts) Use a linear approximation centered at (1,2) to estimate f (09,22)