Let f(n) = sigma^d_i = 0 a_n n^i, where a_d > 0, be a degree-d polynomial in n, and let k be a constant. Use the definitions of the asymptotic notations to prove the following properties. (a) If k greaterthanorequalto d, then f(n) = O (n^k). (b) If k lessthanorequalto d, then f(n) = Ohm (n^k). (c) If k = d, then f(n) = Theta (n^k)