[T]Thenumberofhoursofdaylight inanortheast

city is modeled by the function

N(t)=12+3sin⎡

⎣

2π

365 (t−79) ⎤

⎦,

wheretis the number of days after January 1.

a. Find the amplitude and period.

b. Determinethenumberofhoursofdaylightonthe

longest day of the year.

c. Determinethenumberofhoursofdaylightonthe

shortest day of the year.

d. Determinethenumberofhoursofdaylight90days

after January 1.

e. Sketch thegraphof the function for oneperiod

starting on January 1.

asked by guest
on Mar 31, 2025 at 1:25 pm



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