1. Find a possible formula for the trigonometric function whosevalues are in the following table.
X 0 2 4 6 8 10 12
Y 5 1 -3 1 5 1 -3
y=?
2. A population of rabbits oscillates 15 above and below anaverage of 128 during the year, hitting the lowest value in January(t = 0). Find an equation for the population, P, in termsof the months since January, t.
P(t) =Â Â Â
What if the lowest value of the rabbit population occurred in Aprilinstead?
P(t)) =Â Â Â
3. Outside temperature over a day can be modeled as a sinusoidalfunction. Suppose you know the high temperature of 59 degreesoccurs at 4 PM and the average temperature for the day is 50degrees. Find the temperature, to the nearest degree, at 8 AM
Degrees:
4. Outside temperature over a day can be modeled as a sinusoidalfunction. Suppose you know the temperature varies between 32 and 68degrees during the day and the average daily temperature firstoccurs at 10 AM. How many hours after midnight, to two decimalplaces, does the temperature first reach 45 degrees?
Hours:
