1. Let f(x, y) = sin(xy) and g(r, y) = e" be functions in the domain r, y 2 0. (a) Sketch the level curves f(x, y) = cfor c = -1,0, 1. Use the same set of coordinate axes, with the r and y ranging from 0 to 4. Label your level curves with the value of c, each with a different color. (b) Sketch the level curves g(x, y) = cfor = 10000' 1090' 100 10' J. 1. Use the same set of coordinate axes, with the r and y ranging from 0 to 6. Label your level curves with the value of c, (preferably) with a different color. (c) Draw the graph of f and g on the line y = I. (d) What is the relation between the level curves of f and the level curves of g