Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively.  A town experiences 11.12 hours of sunlight at the summer solstice and 8.21 hours of sunlight at the winter solstice. Find a sinusoidal function  that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)

A. y = 1.455 sin  + 9.665
B. y = 11.12 sin  + 9.665
C. y = 11.12 sin  + 8.21
D. y = 1.455 sin  + 9.665


Answer: A

Mathematics

You might also like to view...

Evaluate the improper integral or state that it is divergent.

A.  ln 6
B. -  ln 11
C.  ln 11
D.  ln 

Mathematics

Illustrate Goldback's conjecture for the following number.100

A. 49 + 51 B. 50 + 50 C. 47 + 53 D. 22 ? 52

Mathematics

Divide if possible.

A. 0 B. 1 C. 37 D. Undefined

Mathematics

Evaluate the expression for the given replacement values. for x = -70, y = -1

A. -71 B. 70 C. -70 D. 71

Mathematics