The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A.M. 2 3 4 5 6 7 8 9 10 11 12 Noon 46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69° 1 P.M. 2 3 4 5 6 7 8 9 10 11 12 Midnight 72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48° a. Find the amplitude of a sinusoidal function that models this temperature variation. b. Find the vertical shift of a sinusoidal function that models this temperature variation. c. What is the period of a sinusoidal function that models this temperature variation? d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation. e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A.M. 2 3 4 5 6 7 8 9 10 11 12 Noon 46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69° 1 P.M. 2 3 4 5 6 7 8 9 10 11 12 Midnight 72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48° a. Find the amplitude of a sinusoidal function that models this temperature variation. b. Find the vertical shift of a sinusoidal function that models this temperature variation. c. What is the period of a sinusoidal function that models this temperature variation? d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation. e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 9P
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The hourly temperature at Portland, Oregon, on a particular day is recorded below.
|
1 A.M. |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 Noon |
|
46° |
44° |
43° |
41° |
40° |
40° |
41° |
43° |
46° |
52° |
65° |
69° |
|
1 P.M. |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 Midnight |
|
72° |
74° |
75° |
75° |
77° |
75° |
74° |
70° |
62° |
55° |
51° |
48° |
a. Find the amplitude of a sinusoidal function that models this temperature variation.
b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
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