Maximum Temperatures Because the values of the circular functions repeat every 27π, they may be used to describe phenomena that repeat periodically. For example, the maximum afternoon temperature in a given city might be modeled by t = 60 - 30 c o s π 6 x , where t represents the maximum afternoon temperature in degrees Fahrenheit in month x . with x = 0 representing January, x = 1 representing February, and so on. Find the maximum afternoon temperature, to the nearest degree, for each of the following months. (a) January (b) April (c) May (d) June (e) August (f) October
Maximum Temperatures Because the values of the circular functions repeat every 27π, they may be used to describe phenomena that repeat periodically. For example, the maximum afternoon temperature in a given city might be modeled by t = 60 - 30 c o s π 6 x , where t represents the maximum afternoon temperature in degrees Fahrenheit in month x . with x = 0 representing January, x = 1 representing February, and so on. Find the maximum afternoon temperature, to the nearest degree, for each of the following months. (a) January (b) April (c) May (d) June (e) August (f) October
Solution Summary: The author calculates the maximum afternoon temperature for a. January, April, May, June, August, and October.
Maximum Temperatures Because the values of the circular functions repeat every 27π, they may be used to describe phenomena that repeat periodically. For example, the maximum afternoon temperature in a given city might be modeled by
t
=
60
-
30
c
o
s
π
6
x
,
where t represents the maximum afternoon temperature in degrees Fahrenheit in month x. with x = 0 representing January, x = 1 representing February, and so on.
Find the maximum afternoon temperature, to the nearest degree, for each of the following months.
(a) January
(b) April
(c) May
(d) June
(e) August
(f) October
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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