Suppose g is a continuous function on [0, 1]. For f in C([0, 1]) define Tf by (Tf)(x) = g(x) + > ex-tf (t ) dt. a. Find a range of values of A for which T is a contraction with respect to the supremum norm on C([0, 1]). b. Find a range of values of A for which T is a contraction with respect to the L'-norm on C([0, 1])