Final answer:
The change in pressure of the oil in a reservoir after 2 years is determined by plugging in t = 2 into the model f(t) = 1.06t³ - 24.6t² +180t and calculating the result.
Step-by-step explanation:
The student is asking about how to calculate the change in pressure of oil in a reservoir over a period of 2 years using the given model f(t) = 1.06t³ - 24.6t² + 180t, where t is the time in years. To find the change after 2 years, we simply plug t = 2 into the model:
f(2) = 1.06(2)³ - 24.6(2)² + 180(2)
After calculating, we find the change in pressure after 2 years. It's essential to understand that this mathematical model is an application of calculus or algebra in predicting physical phenomena such as the behavior of pressure over time within an oil reservoir.