aczty2 There are several level sets for this function plotted below. For each of the indicated points, compute the gradient 1. Let f(x, y) = 10 -- 4 Vf ( x, y) = (fx(2, y), fy(x, y)) and plot it on the domain. How does the gradient relate to the level sets? Level Sets in the Domain of f(x,y)=10-(x2+y2)/4 5 A 3 LO CO 2 > 0 -1 9. -2 8 -3 -4 5 1 3 4 5 -4 -3 -1 2 5 -2 X O2. The picture below shows the graph of the equation a = 1 + xy2. Find three functions of the form z = f(x, y) whose contour diagrams contain this graph. For one of them, find Vf(x, y) and verify that the vector Vf(1, 0) is perpendicular to the graph of a3 = 1 + xy2 at (x, y) = (1, 0), 3 2 1 > 0 -1 -2 -3 -3 -2 -1 1 2 X O 3