(Calcllllls Required) Let Ll PI -+ P2 be the linear transformation defined by L1 (p(t) = Ip(t) and let L2: P, __ P3 be the linear transfomlation defined by L,(p(t )) = I ' p'(t). Let H = il + I. f - I). S = il ' .1 - 1.1 +2). and T = it 3.lz - l.f.f + I) beordered bases for P I. I'z. and 1'), respectively. (a) Find the representation C of L , 0 L I with respect to Hand T. (b) Compute the representation A of L I with respect to K and S and the representation lJ of L , wlth respect to Sand T. Verify that SA is the matrix C obtained in part (a).

L20 - 4 2 2 Find the sl√pe of the tangent line to x + y =9a te point...