Question 1. Suppose the functions f, 9 have contour plots given below: 2.0 -l.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 I -2.0 -1.5 -1.{] -D.5 0.0 0.5 1.0 1.5 2.0 Figure 1: Contour plot of f Figure 2: Contour plot of g 1.1. Estimate the value of f (0, 0) with an error of at most 0.2, and the value of g(0,0) with an error of at most 0.75. [1 + 1 points] 1.2. The function sending :19 to 339W, 1) is constant. What is it (what is the constant)? Re- member this means the rate of change of 9 along the line {(m,y) at. y = 1}. What about 6yg(0.5,y). Explain your answer. Hint: what are g(:1:,1) and g(0.5,y)? [3 points] 1.3. These contour plots describe 5mf(93, y) and y f (cc, 3;). Which is which? Why? 1.0 0.8 0.6 0.4 2.0 1.5 l.D -0.5 0.0 0.5 1.0 1.5 2A] I 2.D -1.5 1. l}.5 {1.0 {1.5 1.0 1.5 2.0 Hint: the key is in the straight contours (level curves). Refer back to the contour plot of f , and think about your strategy from the previous question. [3 points]