Consider the function f(x, y)=(ex−x)sin(y). Suppose S is the surface z=f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (2,3) in the direction in which f decreases most rapidly.

Wholesome food company has been hired to design a healthy menu for the cafeteria at ridgemont high school. they want to conduct a survey to determine what percentage of ridgemont’s 15001500 students like broccoli. the survey will ask, “do you like broccoli? ”