A dam is being emptied. The amount of water remaining in the dam after t days is V = 27(243 – 3+)³ litres where t ⍷ [0, 81].

Question

A dam is being emptied. The amount of water remaining in the dam after t days is V = 27(243 – 3+)³  litres where t ⍷ [0, 81].
How many litres of water were in the dam when t= 0?
When is the amount of water in the dam 729 litres?
What is the rate of change of V with respect to time t?
(a) Evaluate this function when t= 0
(b) Evaluate this function when t is your
answer for Q2.
(c) Compare your answers for Q3(a) and
At which of these two times was the
tank emptying at a greater rate? Explain
why.

Kunduz · Accepted Answer

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