2. (10 points) The piecewise function Mt) is defined by the formula 2+At2 :t 2 where A is a constant whose value can be chosen. a) What is the value of h(t) when t = 2? b) What is the value of rm h(t)? t>2+ c) What is the value of lim Mt)? t>2 d) Will h(t} be continuous or discontinuous at t = 2 if we use A = 1? If discontinuous, what type of discontinuity will Mt) have at this point? e) What value(s) can be used for A to ensure that h(t) is continuous on its domain