Let F be a eld and let V\" be the F-vector space of polynomials in F[a:] of degree g n. Which of the following maps are linear transformations? (a) The map D : V\" > Vn_1 sending p(:c) to p'(m) = pfw). (b) The map I : If; } Vnll sending p(:1:) to P(a:) :2 fox p(t)dt. (c) The map sending 33(22) to p(:1:)2. (d) The map sending p(:1:) to p(a: + 1) 33(33). (e) The map sending p(:r:) to p(:c)p(:1z 1). Provide a brief explanation ideally not more than one or two complete sentences for each of your answers