The number of hours of daylight per day in Washington, D.C., t weeks after the beginning of the year is

The graph of this function is sketched in Fig. 13.

(a) How many hours of daylight are there after 42 weeks?

(b) After 32 weeks, how fast is the number of hours of daylight decreasing?

(c) When is there 14 hours of daylight per day?

(d) When is the number of hours of daylight increasing at the rate of 15 minutes per week?

(e) When are the days longest? Shortest?

(f) When is the number of hours of daylight increasing fastest? Decreasing fastest?

Transcribed Image Text:

f(t) = 12.18 + 2.725 sin 2TT 52 -(1-12)