1. (2+2+3+3 points) For each of the following statements, decide whether it is true or false, and justify your answer: (a) Two different level curves of a function f (3:, y) can intersect. (b) For every function f (133;) and every real number K, the level curve f(:1:,y) = K exists (and is nonempty). (c) If f is a function of a," and y, and jam = 0, then either f3; = O or fy = 0. (cl) If f (x, y) is a function such that . f\"): 0) = 0 o There exists 6 > 0 such that f (5:, y) = 22: when y = 0 and e