Newton's method for a system 2 solutions submitted (max: 10) | View my solutions Write a function file to implement Newton's method for a system of nonlinear algebraic equations: function p = sysNewton(t,),x, tol) The input f will be the system of equations as a column vector, I will be the Jacobian of the system xe will be the initial guesses in a column vector, and tol will be tolerance For examples on how to write and J, please see the Matlab Grader problems "Vector-valued anonymous functions and "Matrix-valued anonymous functions" respectively. While you do not need to write t and I to pass this Matlab Grader test, you will need to be able to write these variables to call sysNewton.m. Function e Resets the solution code to the starter code provided by the Instructor Changes you have made are discarded Reset MATLAB Documentation 1 function p - sys Newton(,),xe,tol) 2 x F is the system of equations as a column vector 3 X this an anonymous function with a vector input and vector output 4 %) is the Jacobian of the system 5 % this is an anonymous function with a vector input and matrix output 6 % xe is a set of initial guesses (in a column vector) 7 % tol is a tolerance 8 Code to call your function C Reset 1 % As a test, you can use the GPS problem, for which you wrote f in MGTC13 and you wrote J in MGHW6. 2 % Supply sysNewton with these functions, and pick an initial guess and tolerance. 3 % You can verify that sysNewton is working by evaluating f at the result (what do you expect to get?) Juice 1 solution submitted (max 10) | View my solutions I like juice that doesn't have wheat germ or other weird stutt A juice company makes 1 gallon bottles of juice They blend mango, papaya and passion fruit in different ratios Juice 1: 3 quarts mango, 0 75 quarts papaya, and 0.25 quarts passion fruit Julce 2 1 quart mango, 2.5 quarts papaya, 0.5 quarts passion fruit Juice 3. 0.5 quarts mango, 0.5 quarts papaya. 3 quarts passion fruit How many gallons of each blend can be made it there are 7,600 gations of mango, 4,900 gallons of papaya, and 3,500 gallons of passion fruit juice available? Store your result in a column vector called J 3 [amount of Juice 1; amount of juice 2; amount of Juice 3). Hint before rushing in think about what the unknowns are write out the equations Verity that the units make sense