Verify that the function has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset a It has a period of 365 days b Its maximum and minimum values are 14 8 and 9 2, respectively,which occur approximately at t 172 and t 355, respectively (corres...

a The period of this function is 2 2365 365 b Because ...

Verify that the function has the following properties, where t is measured in days and D is

Question:

Verify that the function has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset.
-в) 2т (г — 81) ) + 12 365 D(t) = 2.8 sin

a. It has a period of 365 days.

b. Its maximum and minimum values are 14.8 and 9.2, respectively,which occur approximately at t = 172 and t = 355, respectively (corresponding to the solstices).

c. D(81) = 12 and D(264) ≈ 12 (corresponding to the equinoxes).

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