The number of hours of daylight in Boston is given by[365 (x-79)] + 12,h(x) = 3 sinwhere x is the number of days after January 1. (1 point for each part) (You can use a calculator)a) What is the period of this function?b) How many days after January 1 is the longest day of the year?c) How many hours of daylight are there on the longest day of the year?d) How many days after January 1 is the shortest day of the year?e) How many hours of daylight are there on the shortest day of the year?