Find the average rate at which oil drains

Assignment Help Mathematics

Reference no: EM131013440

An oil tank is to be drained for cleaning. There are V(t) gallons of oil left in the tank t minutes after the draining began, where V(t)= 45(60-t)².

a) Find the average rate at which oil drains during the first 15 minutes.

b) Find the average rate at which oil drains during the time interval [10, 15].

c) Find the rte at which oil is flowing out of the tank 15 minutesafter the draining began.

d) A find the average rate, AR(delta t), at which oil drains during the time interval:

i) [15+ Δt, 15], if -1< Δt < 0

ii) [15, 15+ Δt], if 0< Δt < 1

e) Use the results in part d) to find the limit: limit as delta t goes to 0 of AR (Δt)

What does this limit represent?

Reference no: EM131013440

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