1. The periodic function, T ), gives the temperature in degrees Celsius of the water in a pool, t in hours since 3 o clock in the morning. The lowest temperature of 18 °C is measured at 3 o'clock in the morning and the highest temperature of 30°C at 3 o'clock in the afternoon. 1.1 Represent the formula of the function T = f(t). 1.2 Use the formula to calculate the temperature at 12:00 on the second day.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
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Please help with number 1.1 and 1.2
1. The periodic function, T ), gives the temperature in degrees Celsius of the water in a pool,
t in hours since 3 o'clock in the morning. The lowest temperature of 18 °C is measured at
3 o'clock in the morning and the highest temperature of 30°C at 3 o'clock in the afternoon.
1.1 Represent the formula of the function T= f(t).
1.2 Use the formula to calculate the temperature at 12:00 on the second day.
2. Find the equation of the line tangent to the graph of f(x) = cos(x) in the point where x T.
3. In a city in the USA the number of minutes of daylight can be approximated by the function
((- 79. 5)z
183
with t = 1 giving the number of daylight hours on January 1.
D = 720 + 200 sin
3.1 What is the maximum daylight-length?
3.2 Show that D-100 3.22. What does this mean?
dt
EN
26°C
acer
Prisc
Syska
Pause
Break
Insert
Del
Bedogrs
HUAWEI P30 lite
TRIPLE CAMERA
近
Transcribed Image Text:1. The periodic function, T ), gives the temperature in degrees Celsius of the water in a pool, t in hours since 3 o'clock in the morning. The lowest temperature of 18 °C is measured at 3 o'clock in the morning and the highest temperature of 30°C at 3 o'clock in the afternoon. 1.1 Represent the formula of the function T= f(t). 1.2 Use the formula to calculate the temperature at 12:00 on the second day. 2. Find the equation of the line tangent to the graph of f(x) = cos(x) in the point where x T. 3. In a city in the USA the number of minutes of daylight can be approximated by the function ((- 79. 5)z 183 with t = 1 giving the number of daylight hours on January 1. D = 720 + 200 sin 3.1 What is the maximum daylight-length? 3.2 Show that D-100 3.22. What does this mean? dt EN 26°C acer Prisc Syska Pause Break Insert Del Bedogrs HUAWEI P30 lite TRIPLE CAMERA 近
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