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Year 10 Maths Advanced Non Linear Relationships Functions and Graphs

Applications of Parabolas

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Question 1
114234

The temperature \(\text{T}^\circ \text{C}\) in a country town after 10pm is given by \(T(t)=\dfrac{1}{2}t^2-8t+24\).

i) At what time is the temperature a minimum?

ii) Find the minimum temperature. 

i) \(6 \text{ am}\)

ii) \(-8^\circ \text{ C}\)

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