4. The number of hours H(D) of daylight on day D of the year is given by the function H (D) = 12+ Asin[2\"(D 80)] where A depends on the latitude of the geographical 365 location. (The 80 corresponds to the vernal equinox March 21, on which the lengths of day and night are equal. Leap year is ignored.) For New Orleans, the constant A is about 2.3. a. How many hours of daylight are there on December 1? b. What is the period of H(D)? c. What day has the most hours of daylight? Explain how can you determine both algebraically and graphically which day has the most hours of daylight