The amount of daylight a particular location on Earth receives on a given day of the year can be modelled by a sinusoidal

Question

The amount of daylight a particular location on Earth receives on a given day of the year can be modelled by a
sinusoidal function. The amount of daylight that Windsor, Ontario will experience in 2007 can be modelled by the
function D(t) = 12.18+ 3.1 sin(0.017t-1.376), where t is the number of days since the start of the year.
a. On January 1, how many hours of daylight does Windsor receive?
b. What would the slope of this curve represent?
c. The summer solstice is the day on which the maximum amount of daylight will occur. On what day of the year
would this occur?
d. Verify this fact using the derivative.
e. What is the maximum amount of daylight Windsor receives?
f. What is the least amount of daylight Windsor receives?

Kunduz · Accepted Answer

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