Suppose y is a continuous function on [[1, 1]. For f in C([0,1]} dene T f by (TIME) = as + A f: can) art. a. Find a range of values of A for which T is a contraction with respect to the supremurn norm on C([EL 1])- I}. Find a range of mines of A for which T is a contraction with respect to the Li-norrn on C([fL 1]). c. Describe the iterative process for nding a solution f to the equation for) = as + A f: error) at explaining how the procedure works and how one knows that it leads to a solution. {1. With f(:r) = U for all :r, compute the st three iterates, f1, f2, and f3