Section 14.2: Problem 9 Previous Problem Problem List Next Problem 5x2 - 872 (1 point) Suppose f(x, y) = xy Define f(0, 0) in order to extend f(x, y) to a function which is continuous at the origin. 2 2 + 32 f(0, 0) = (If there is no value of f(0, 0) which would make f(x, y) continuous at the origin, enter "none".)Section 14.2: Problem 10 (1 point) Another method for computing limits as (:5, y) > (0, 0) is to convert to polar coordinates: substitute a: = rcos 0, y = 7' sin 6, and compute the limit as r > 0. If the limit as 7' > 0 exists, then so does the limit at (m, y) > (0, 0), and both limits are equal. If the value of the limit as r > 0 depends on 9, then the limit as (m, y) > (0, 0) does not exist. Find the limits. Enter "DNE" if the limit does not exist. 5 _ 5 lim cos(u) = EEE (w,y)+(0,0) :62 + 3;2 rm i = as (mam) cc? + 9y + 312