Please Answer the following questions (SHOW ALL WORK PLEASE)

1.

Consider the function Hag-Ir} = e \"[2 I5 _ 5'2 I5 and the point P1: 3, 3}. 3. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at F'. a. The direction of steepest ascent is ED. 13.8.13 Question Help Find all critical points of the following function. f(x,y) = - 4xy - x* - What are the critical points? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The critical point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no critical points.13.8.17 Question Help Find all critical points of the following function. f(x.y) = x7 + 4x+y2 - 16 What are the critical points? Select the correct choice below and fill in any answer boxes within your choice. O A. The critical point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no critical points