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A dam is being emptied. The amount of water remaining in the dam after t days is V = 81(26 - 4t)4 litres where

 

A dam is being emptied. The amount of water remaining in the dam after t days is V = 81(26 - 4t)4 litres where t = [0,7). (1) How many litres of water were in the dam when t = 0? (2) When is the amount of water in the dam 1296 litres? (3) 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 Q3(b). At which of these two times was the tank emptying at a greater rate? Explain why. TASK 2: DIFFERENTIATION SKETCHING GRAPHS (1) Sketch the graph y = -6x +9r. Provide all working for finding the intercepts and stationary points. You must use either a 2nd derivative test or a sign diagram to classify each stationary point.

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