(a) Find a sinusoidal function of the form y = A sin (wx-4) + B that fits the data. A=0 @= (Type an exact answer in terms of x. Use integers or fractions for any numbers in the expression. Simplify your answer.) Ф= (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. ya hours (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. D. O C. OA. OB. فنلاند Manim LILLE WAGON wwwwwwww Q TR MODIC TEU W Q X-NWAON Q o
(a) Find a sinusoidal function of the form y = A sin (wx-4) + B that fits the data. A=0 @= (Type an exact answer in terms of x. Use integers or fractions for any numbers in the expression. Simplify your answer.) Ф= (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. ya hours (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. D. O C. OA. OB. فنلاند Manim LILLE WAGON wwwwwwww Q TR MODIC TEU W Q X-NWAON Q o
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:K
In a certain city, the number of hours of sunlight on the summer solstice is 15.830 and the number of hours of sunlight
on the winter solstice is 8.634.
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=0
@=
(Type an exact answer in terms of Use integers or fractions for any numbers in the expression. Simplify your
answer.)
(Type an exact answer in terms of Use integers or fractions for any numbers in the expression. Simplify your
answer.)
B-0
(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.
O A.
OB.
WITH
TTTT
150 300
Q
G
O C.
WWW
150 300
0
150 300
Q
0
Q
D.
a
150 300
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