On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas approximately 44 ◦C and the minimum overnight temperature recorded was approximately 26 ◦C. (a) Using a sine function, write down an equation that models the temperature T (in ◦C) in Mildura on that day as a function of t (measured in hours since midnight). Explain how you determine each of the constants in your equation, and write down any assumptions you make.

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On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas approximately 44 ◦C and the minimum overnight temperature recorded was approximately 26 ◦C.

(a) Using a sine function, write down an equation that models the temperature T (in ◦C) in Mildura on that day as a function of t (measured in hours since midnight). Explain how you determine each of the constants in your equation, and write down any assumptions you make.

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