Task three: After Harry's second defeat, they want to look for ways to make the course even more difficult for Torty. After talking to a landscaper, Harry determined that the terrain around the track (considering the center of the track to be the point (0, 0, 0) can be defined by the function f(x, y) = xy'. The race track is determined by taking the points (x, y, f(x, y)), where (x, y) follow the unit circle. Harry suspects that making the course more difficult within the first quadrant (of the unit circle) will further hinder Torty's ability to run effectively. 1 = 7.1 dr = 0.25 dy = 0.25 Reset Zoom Zoom Harry Show Hill Show Diferentials Using only partial derivatives, directional derivatives, and tangent planes, answer the following questions: his study source was downloaded by 100000820974135 from CourseHero.com on 04-23-2023 19:17:21 GMT -05:00 ps://www.coursehero.com/file/171387373/attachment-1-25docx/ V3 21 2 1) Estimate the current height change along the course between the points and 2) How does the current course height change between and . compare to the estimated height change if the course had instead moved the same distance directly North or directly West? (Note: Consider the x-axis to be East and the y-axis to be North) 3) Because of the topography around the course, Harry can only alter the course after the point V3 2 ' by moving Northeast, Northwest, Southeast, or Southwest, and only by the same horizontal distance as the original change from and 2 ' 2 ) Compare the estimated height changes in each direction to determine the new course that would prove most difficult journey