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categoryرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
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his Question: 1 pt
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This Quiz: 12 pts possible
In a certain city, the number of hours of sunlight on the summer solstice is 15.746 and the number of hours of sunlight on the winter solstice is 8.286.
Answer the following questions. Assume that summer solstice occurs on the 172nd day of the year, and that there are 365 days until the next summer solstice.
(a) Find a sinusoidal function of the form y = A sin (wx-4)+B that fits the data.
A=
6=
(Type an exact answer in terms of x. Use integers or fractions for any numbers in the expression. Simplify your answer.)
4=
(Type an exact answer in terms of Use integers or fractions for any numbers in the expression. Simplify your answer.)
B=
(b) Use the function found in part (a) to predict the number of hours of sunlight on April 1, the 91st day of the year.
yhours (Round to two decimal places as needed.)
(c) Draw a graph of the function found in part (a). Choose the correct graph of the function below
OA.
Tito
O B.
OC.
B
150 300
150 300
150 300
150 300
1 of
1 of 1
incomple
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