Problem 3 (2 points) For the following vector fields (a) F = -4yi + 5xj (b) F = 7yi + 3xj (c) F = 5yi - 5xj (d) F = 6yi - 4xj (e) F = -2yi + 3xj answer the following questions: 1. Which of the above vector fields is rotating the fastest in the counter-clockwise direction? 2. Which of the above vector fields is rotating the fastest in the clockwise direction? 3. Which one is not rotating at all?Math 303-Spring 2023 Extra Credit Exam# 3-Part 2 Due Date: May 7th Name: Instructions: 1. \"-"rite your answers CLEARLY. 2. Correct answers with no supporting work get no credit. 3. Upload your solutions to BLACKBOARD 011 May 7th by 11:59pm. No work will be accepted after this date. Do NOT send your solutions to my email account. Problem 1 (2 points) Find the area of the portion of the surface given by 2.. 3:2 __3/2 +3.1; that lies above the region D of the my-plane given by D={(r,y):L]$2,l]gyg2m}. Problem 2 (2 points) Determine whether the following vector fields are conservative or not by ap- plying Clairaut's test. If they are conservative, find the potential function: 1. F(x,y) = xy'it xyj 2. F(x, y) = Va2 + y2 Vx2 + y2