Let T : P2 P2 be the mapping defined by T(a0 + a1x + a2x2 ) = 3a0 + a1x + (a0 + a1)x2 (a) Show that T is linear. (b) Find a basis for the kernel of T . (c) Find a basis for the range of T .

L31 - 11 Now You Try It (NYTI): Find a function f for which the limit below represents the area under f on the given interval. Here, we assume the rectangles...