Natural Science The number of minutes of daylight in Washington, DC, can be modeled by the...

Natural Science The number of minutes of daylight in Washington, DC, can be modeled by the function

where x represents the number of days of the year, starting on January 1. Find the number of minutes of daylight on

(a) day 32.

(b) day 90.

(c) day 200.

(d) day 270.

(e) Graph g(x).

(f) On what day is the number of minutes of daylight the greatest?