2. (10 points) The following table contains values of a function f(x, y) x = 1 x = 1.4 x = 1.8 x = 2.2 x =2.6 x=3 y = 0 10.2 8.01 6.7 5.4 4.5 4.8 y = 1 9.42 7.5 6 5.3 4.98 4.67 y = 2 8.7 7.1 5.81 5.7 5.6 5.04 y = 3 7.23 6.85 5.4 5.35 5.23 5.15 : 4 6.5 4.4 3.8 3.7 3.9 5.25 (a) If R is the rectangle [1, 3] x [0, 2] write down a number that provides a good estimate of via a Riemann sum $3,2, meaning that you use six rectangles that are three across in the x direction and 2 across in the y-direction. (Note that there is more than one right answer; and that you do not need to simplify your answer to a single number, e.g. 1.2.4+2 . (-1) would be an acceptable final answer.) (b) Do you expect that your estimate an overestimate or underestimate? Why