17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 2 3 4 5 6|789 |10 11 12 Noon A.M. 46° 44°43 41°40°40°41°43°46°52°65° 69° 1 2 34 5 6 789 10 11 P.M. 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?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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17. The hourly temperature at Portland, Oregon,
on a particular day is recorded below.
1
2 3 45 6|78|9 |10 11 12 Noon
Α.Μ.
46° 44° 43°41°40°40°41°43°46°52°65° 69°
1
12
2 34 5 6789 10 11
P.M.
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?
||
Transcribed Image Text:17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 2 3 45 6|78|9 |10 11 12 Noon Α.Μ. 46° 44° 43°41°40°40°41°43°46°52°65° 69° 1 12 2 34 5 6789 10 11 P.M. 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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