1. The periodic function, T = f(t), gives the temperature in degrees Celsius of the Waler in 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(x²) 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 %3D %3D (1 – 79. 5)n 183 D = 720 + 200 sin %3D with t = 1 giving the number of daylight hours on January 1. 3.1 What is the maximum daylight-length? 3.2 Show that -100 = 3.22. What does this mean? dD dt
1. The periodic function, T = f(t), gives the temperature in degrees Celsius of the Waler in 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(x²) 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 %3D %3D (1 – 79. 5)n 183 D = 720 + 200 sin %3D with t = 1 giving the number of daylight hours on January 1. 3.1 What is the maximum daylight-length? 3.2 Show that -100 = 3.22. What does this mean? dD dt
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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Number 2 and 3.1
Transcribed Image Text:The periodic function, T= f(t), gives the temperature in degrees Celsius of the walef ih a POUL,
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 = .
3. In a city in the USA the number of minutes of daylight can be approximated by the function
1.
(1- 79.5)n
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?
dD
3.2 Show that -100 3.22. What does this mean?
EN
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