The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.) H(t)=Acos(Bt-C)+D Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.
The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.) H(t)=Acos(Bt-C)+D Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t.
We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.)
H(t)=Acos(Bt-C)+D
Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.
![9.617
15:5
10
9.75
15-
20
9.833
14:5
30
10.283
40
10.617
14
50
10.983
13:5
60
11.367
13
70
11.733
12:5
80
12.133
12
90
12.533
100
12.933
11:5
110
13.326
11-
120
13.683
10.5
130
14
10
140
14.3
9.5
150
14.517
160
14.65
editgraph.on
desmos
400
170
14.75
8.5
100
-200
300
180
14.717
190
14.617
200
14.433
210
14.183
220
13.867
230
13.533
240
13.167
250
12.783
260
12.383
270
11.983
280
11.583
290
11.2
300
10.817
310
10.466
320
10.15
330
9.883
340
9.683
350
9.583
360
9.567
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Transcribed Image Text:9.617
15:5
10
9.75
15-
20
9.833
14:5
30
10.283
40
10.617
14
50
10.983
13:5
60
11.367
13
70
11.733
12:5
80
12.133
12
90
12.533
100
12.933
11:5
110
13.326
11-
120
13.683
10.5
130
14
10
140
14.3
9.5
150
14.517
160
14.65
editgraph.on
desmos
400
170
14.75
8.5
100
-200
300
180
14.717
190
14.617
200
14.433
210
14.183
220
13.867
230
13.533
240
13.167
250
12.783
260
12.383
270
11.983
280
11.583
290
11.2
300
10.817
310
10.466
320
10.15
330
9.883
340
9.683
350
9.583
360
9.567
9,
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