(a) Use Taylor's Theorem to compute the remainder R3(x) in terms of value c that lies between 0 and x. (b) Give an upper bound on the error assuming x∈ [ − 4 , 4 ]. Compute the exact value of c (in terms of x) so that R 3 ( x ) = f ( x ) − p 3 ( x ) and R 3 ( x ) in part (a) agree. Note: p 3 ( x ) is the 3rd-order Taylor polynomial.