T= a sin (b (t-c))+d 0

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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T= a sin (b (t-c))+d 0
10
t (hours)
6.
12 15 18 21 24
The lowest temperature was recorded at 3:30 am and the highest temperature was recorded
at 3:30 pm.
(a) Write down the value of:
(1) a;
(ii) d.
(b) Find the value of b.
(c) Find the smallest possible value of e, given e> 0.
The temperature, T, in degrees Celsius, in Istanbul during a particular summer day is
modelled by the equation
T= 5 sin (0.262 (t-8)) +25, 0StS 24,
where t is the elapsed time, in hours, since midnight.
(d) Find the time, in hours and minutes, when the temperature:
(1) reaches its maximum
(i1) first drops below 24 C.
(0) The temperature is bekow 24'C for A bours and m minutes Find the value of h and
the value of m.
Transcribed Image Text:10 t (hours) 6. 12 15 18 21 24 The lowest temperature was recorded at 3:30 am and the highest temperature was recorded at 3:30 pm. (a) Write down the value of: (1) a; (ii) d. (b) Find the value of b. (c) Find the smallest possible value of e, given e> 0. The temperature, T, in degrees Celsius, in Istanbul during a particular summer day is modelled by the equation T= 5 sin (0.262 (t-8)) +25, 0StS 24, where t is the elapsed time, in hours, since midnight. (d) Find the time, in hours and minutes, when the temperature: (1) reaches its maximum (i1) first drops below 24 C. (0) The temperature is bekow 24'C for A bours and m minutes Find the value of h and the value of m.
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