Please answer a, b & c

(b) Do you expect that your estimate an overestimate or underestimate? Why? 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 oo y =1 9.42 1.98 4.67 y = 2 8.7 5.8 5.7 5.6 5.04 y = 3 7.23 6.85 5.35 5.23 5.15 y = 4 5.25 Page 3 (a) If R is the rectangle [1, 3] x [0, 2] write down a number that provides a good estimate of 3. (15 points) Consider the function f(x, y) = a(x2 + y?) + xy + 1 for some real number a. via a Riemann sum S3,2, 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; (a) (3 points) Find Vf. 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.) Answer: (b) (3 points) Find fazfyy - (fay)? Answer: (c) (9 points) Notice that (0, 0) is a critical point of f. Give specific values of a (e.g. = 1, -1/5, ...) for which f has a maximum, minimum and a saddle point at (0, 0) (or say that none exists). You must support your classification by a computation. Your answer should consists of three separate values of a, and for each value, whether f has a maximum, a minimum or a saddle point