Requesting urgent help in answering the question below. Please show detailed workings and provide explanations for clarity and guidance

A time series model is given by 33:: = mt + E: where mt is the trend series and E (6:) = 0. Given that the trend function is the cubic polymonnal mt = g + ,3 1t + ,3th + 18313: (i) write down the symmetric moving average, wt, of :3; with weights ((121 [11; an: I31: [12) (ii) show that inthecase where (.14, a_1,ag,e1,og) = 335, %, %, %, %) , wt=mt+8t where E (6:) = (J. (This is long and armoying :)