Asked by Angelica

Water is draining from a large tank. After t min, there are 150000-7500t+t^2 litres of water in the tank.?
a) Determine the average rate at which the water empties from the tank in the interval between
5 and 10 minutes.
b) Determine the average rate at which the water empties from the tank in the interval between
9 and 10 min.
c) Estimate the rate at which the water runs out after exactly 10 min.
d) How much water is in the tank at exactly 10 min?

Answers

Answered by oobleck
(a) that would be the slope of the line between the two points on the graph of f(t) as given:

(f(10)-f(5))/(10-5)
plug in your t values

(b) same thing, different interval

(c) pick a small interval centered at t=10, such as [9.9,10.1]

(d) naturally, that will be f(10)
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