The temperature in a certain city is measured at noon each day from 1st July 2013 for two complete years. The graph below shows the temperature T'in degrees Celcius / days after 1st July 2013. The value of T(0) represents the temperature at noon on 1st July 2013. T M 30- 24- 18- 12- ww Z AN M

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Chapter2: Second-order Linear Odes
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The temperature in a certain city is measured at noon each day from 1st July 2013 for two
complete years. The graph below shows the temperature T in degrees Celcius t days after
1st July 2013. The value of T(0) represents the temperature at noon on 1st July 2013.
T
30-
24-
18-
12-
160
320
480
640
(a) Determine an equation in the form T(1) = Acos(Bt) + C where A,B,C €R that
approximates the data.
(b) Use your equation to approximate the number of days from 1st July 2013 up until and
including 30th June 2015 that the temperature exceeded 24°C.
6-
Transcribed Image Text:The temperature in a certain city is measured at noon each day from 1st July 2013 for two complete years. The graph below shows the temperature T in degrees Celcius t days after 1st July 2013. The value of T(0) represents the temperature at noon on 1st July 2013. T 30- 24- 18- 12- 160 320 480 640 (a) Determine an equation in the form T(1) = Acos(Bt) + C where A,B,C €R that approximates the data. (b) Use your equation to approximate the number of days from 1st July 2013 up until and including 30th June 2015 that the temperature exceeded 24°C. 6-
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