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2. Water drains from a container so that the volume of water (in Litres) left in the container after t minutes can be modelled by

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2. Water drains from a container so that the volume of water (in Litres) left in the container after t minutes can be modelled by the function V(t) = (a) Determine the slope of the tangent to V (t) when t = 2 from first principles. (4 marks) (b) Interpret the meaning of the slope of the tangent. (2 marks) (c) Determine the time at which the water is draining at a rate of 0.1 L/min. (4 marks)

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