(1) Values of z = f(x, y) and its derivatives are given in the table below und reans contour diagram is to the right (contours are labelled, but for reference, the dashed contours are even and dark contours are odd). Use them to answer the following questions. Make sure to justify all your work. 1.5 1.0 (x, y) f fx fy fax fyy fry (0,0) 0 und und und und und 0.5 -3 (1,0) =4 0 1 -1 2 (1, 1) 5.5 2 =1 1 1 ત્યાર (1,-1) 5.5 1 2 1 0.0 મુ ક ા માની શ (0, 1) -6 0 -1 #1 1 2 (-1,1) -5.5 -1 -2 1 2 1 (-1,0) 0 0 1 1 2 -0.5 (0, -1) -6 0 1 1 2 1 (-1,-1) -5.5 1 2 =1 #1 2 -1.0 (a) Identify which of the points in the table are critical points. -1.5 -1.0 -0.5 10.0 0.5 1.0 1.5 (b) Classify the critical points appearing in the table as minima, maxima or neither. Provide reasoning for each. (c) Find an equation for the tangent plane to f(x, y) at the point (1,-1). Write your answer in the form ax+by+cz = d. subiect to the constraint

facter 35x + 7

2u-11=3

Don't use chat gpt plz

2y-11rooty=-5

List all of the possible ways to choose 2 different flowers from the list: daisy, orchid, petunia, tulip. Be systematic. Give some kind of justification. Justifications include verbal explanations of how you approached the problem or a list. An example of one way to choose 2 flowers from the list is daisy and orchid. Order does not matter so daisy/orchid and orchid/daisy are the same pair. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial XQ HQ ¶ "" Ω Θ P = = = X I!!! 10pt 用网 X₂ ள எ † A {;} +] < ABC T₂ 57 Ⓒ Ky O WORDS POWERED BY TINY