The following is a 5-point difference scheme, over equally-spaced xi , for d3f/dx3 at x = xi : write out taylor series expressions for each of the four fi-3, fi-2, fi-1, fi+1 to the fifth deriva? ve, like you did in 12.3, and then combine them using the given difference scheme above to
a) calculate the discre? za? on error order (i. e. write the error = o(δxp) for some integer p).
b) calculate the precision of the scheme.

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.