Chapter 6.3, Problem 60E

Daylight Hours in New Orleans The seasonal variation in length of daylight can be modeled by a sine function. For example, the daily number of hours of daylight in New Orleans is given by

$h=\frac{35}{3}+\frac{7}{3}\sin \frac{2\pi x}{365},$

where x is the number of days after March 21 (disregarding leap year). (Source: Bushaw. D., et al., A Sourcebook of Applications of School Mathematics. Mathematical Association of America.)

(a) On what date will there be about 14 hr of daylight?

(b) What date has the least number of hours of daylight?

(c) When will there be about 10 hr of daylight?