The function f(a:, y) = 130 0.13:2 0.02y3 gives the temperature (in degrees F) of the ground at a position ofx meters to the east of and y meters north of the corner of a backyard block wall on a hot summer day. Suppose an ant is at the corner. 3. (5 Points) In which direction should the ant move one unit in order to most rapidly decrease the ground temperature? Give your answer as a vector. 4. (5 Points) Find the tangent plane at the position (x,y) = (4,5). Be sure your plane is written in the form ay) = mm +ny+ b- 5. (5 Points) Interpret the meaning of m and n in the tangent plane equation you found in Problem 4). 6. (5 Points) Suppose the ant's position changes in the following way t minutes after it leaves the corner of the wall: 33(t) = 0.03t2,y(t) = 0.01153 0.17:. Determine how fast the ground temperature below the ant is changing at time t = 7 minutes. Be sure to provide units