The temperature T (in ° F ) for Kansas City, Missouri, over a several day period in April can be approximated by T ( t ) = − 5.9 cos ( 0.262 t − 1.245 ) + 48.2 , where t is the number of hours since midnight on day 1. a. What is the period of the function? Round to the nearest hour. b. What is the significance of the term 48.2 in this model? c. What is the significance of the factor 5.9 in this model? d. What was the minimum temperature for the day? When did it occur? e. What was the maximum temperature for the day? When did it occur?
The temperature T (in ° F ) for Kansas City, Missouri, over a several day period in April can be approximated by T ( t ) = − 5.9 cos ( 0.262 t − 1.245 ) + 48.2 , where t is the number of hours since midnight on day 1. a. What is the period of the function? Round to the nearest hour. b. What is the significance of the term 48.2 in this model? c. What is the significance of the factor 5.9 in this model? d. What was the minimum temperature for the day? When did it occur? e. What was the maximum temperature for the day? When did it occur?
Solution Summary: The author explains the significance of the term 48.2 in this model. The temperature T for Kansas city, Missouri, over a several day period in April can be approximated by T(t)=-5.9cos
The temperature T (in
°
F
) for Kansas City, Missouri, over a several day period in April can be approximated by
T
(
t
)
=
−
5.9
cos
(
0.262
t
−
1.245
)
+
48.2
, where t is the number of hours since midnight on day 1.
a. What is the period of the function? Round to the nearest hour. b. What is the significance of the term 48.2 in this model? c. What is the significance of the factor 5.9 in this model? d. What was the minimum temperature for the day? When did it occur? e. What was the maximum temperature for the day? When did it occur?
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