MATLAB QUESTION

A hiker is returning from a trip and her position at time t 0 is given by the vector function r() = Assuming that she is always walking in the direction of the steepest descent, ie. r()-x., and that her initial position is r(0- determine the hiker's trajectory r() as a function of time until she can no longer move downhill. Note that the equation r() =-V (x,y) must be integrated for a suff-ciently long time to ensure the climber can no longer move downhill. To achieve this use [ 0 : 0 001: 50] as the second argument of the function de 45 a What are the final x, y, and z coordinates of the hiker? Note: The Matlab code for the required partial derivatives f and fy are given by the following two expressions, respectively (which could be produced using Matlab's Symbolic Toolbox, if you have it) -(18* (1-3*x))exp 3*x.2-(3*y+1) .*2) . . . -(10* (3/5-81*x. 2)).*exp (-6*x. 2-4y.2) . . . (1/3* (-18 x-6)) *exp (3*x+1) 2-9 y. 2) +2*x; 3" (1-3"X) ."2" * (-18*y-6) ."exp (-3*x."2-(3*y+1) ."2) . . . 12150*y.^4."exp (-6*x."2-4*y."2) + 6*y.*exp (3*x+1) . *2-9*y. 2) +2*y; x, y, and z (in that order) separate your answers with a comma Just Save Submit Problem #2 for Grading Attempt #4 | Attempt #5 Problem #2 | Attempt #1 | Attempt #2 | Attempt #3 Your Answer: Your Mark