## Kristen Lew, Homework 9 ## ExpMath 2012 ## Post what you wish. ### Problem 1 ## Discover and write the extension of procedure M(n), lets call it T(n,x) that # surprisingly outputs the squares of the Chebychev polynomials of the second kind # (U_n(x))^2. T:=proc(n,x) local t1,t2: option remember: if n=0 then 1: elif n=1 then 4*x^2: else t1:=simplify((T(n-1,x))^(1/2),sqrt,symbolic): t2:=simplify((T(n-2,x))^(1/2),sqrt,symbolic): expand((expand(2*x*(t1))-expand(t2))^2) : fi: end: