I need help with the 3 questions shown in the screenshot. Thank you in advance. Please be thorough and organized with your work.

1. Let f(:r,y} = sagya, and let P = (12). (a) Determine the directional derivative of f(:r,y) as one begins to move from the point P towards the point Q = (21 2}. (h) In what direction from the point P should one move in order for f(:r, y) to inerease the fastest? 5.1\": Determine. the equation of the tangent plane to the function f(;r._. y} = m at the .1: l :1; point (1,1). You are dancing in a club and after break dancing to an 80s mix, you realize that you are very hot and sweaty and so you decide that you must move to a cooler area of the dance oor. You realize that the temperature of any point 011 the dance oor (relative to the center of the room) is given by The y] = .152 Easy + y2 and you are standing at the point (3.1). (a) In what direction should you move in order for the tempt-nature to decrease the fastest? (1)) What is the rate at which your temperature deere-ases