The number of hours of daylight on a given day in City A is given by the
following function, where is the number of days after January 1 .

Use this function to answer parts a through e.
a. What is the amplitude of this function?
3 (Simplify your answer.)
b. What is the period of this function?
(Simplify your answer. Type an exact answer, using as needed. Use integers or
fractions for any numbers in the expression.)

Ask by Mills Norton. in the United States

Feb 08,2025

Question

The number of hours of daylight on a given day in City A is given by the
following function, where is the number of days after January 1 .

Use this function to answer parts a through e.
a. What is the amplitude of this function?
3 (Simplify your answer.)
b. What is the period of this function?
(Simplify your answer. Type an exact answer, using as needed. Use integers or
fractions for any numbers in the expression.)

Ask by Mills Norton. in the United States

Feb 08,2025

UpStudy AI · Accepted Answer

The general form for a sine function is y = A sin(B(x - C)) + D.

a. The amplitude is given by |A|. Here, A = 3, so the amplitude is 3.

b. The period is given by 2π/B. In this function, B = (2π)/365, so the period is:

Period = 2π / ((2π)/365) = 365.

Thus, the amplitude is 3 and the period is 365.
The amplitude is 3 and the period is 365.