Assume that the number of hours of daylight in New Orleans in 1994 is given by the function D(x) = 7 3 sin 2π 365 x + 35 3 , where x represents the number of days after March 21. (a) Find the number of hours of daylight on January 1, May 4 and October 28. (Round your answers to two decimal places.)

Here, the given function that represents the number of hours of daylight in New Orleans in 1994 is,

Where,

x = the number of days after March 21

The number of days from 1 January to march 21 = 80

If x = -80, then,

Therefore, the number of hours of daylight on January 1 are 9.38.

The number of days from march 21 to may 4 = 44

If x =44, then,

Therefore, the number of hours of daylight on May 4 are 13.27.

The number of days from October 28 to may 4 = 221

If x = 221, then,

Therefore, the number of hours of daylight on October 28 are 10.23.