Let S(t) be the length of the fth day of the year 2009 in Mumbai (formerly known as
Chapter 1, Problem 43(choose chapter or problem)
Let S(t) be the length of the fth day of the year 2009 in Mumbai (formerly known as Bombay), India (measured in hours, from sunrise to sunset). We are given the following values of S(t):t S(t)47 11.5 74 12 273 12For example, 5(47) = 11.5 means that the time from sunrise to sunset on February 16 is 11 hours and 30 minutes. For locations close to the equator, the function S(t) is well approximated by a trigonometric function of the formS(, ) = + * c o s ^ + c i n ^ ) .(The period is 365 days, or 1 year.) Find this approximation for Mumbai, and graph your solution. According to this model, how long is the longest day of the year in Mumbai?
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