A dam is being emptied. The amount of water remaining in the dam after t days...
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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 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 = -6x² +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. 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 = -6x² +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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Lets address your questions one by one 1 How many litres of water were in the dam when t0 To find the initial amount of water in the dam when t0 we ca... View the full answer
Related Book For
Managerial Accounting
ISBN: 978-0078025518
2nd edition
Authors: Stacey Whitecotton, Robert Libby, Fred Phillips
Posted Date:
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