Question

The Bad Petroleum company's oil rig in the middle of the Paradise Nature Bay is leaking t a rate of

r(t) = 0.3t^2 -5t +800

thousands of barrels per day, where t is time in days since the Leak began.

1. Estimate the total amount of crude oil spilled during the first 5 days. (Round your answer to the nearest thousand barrels.)


2. Estimate the total amount of crude oil spilled during the 5th day. (Round your answer to the nearest thousand barrels.)

Answer 1

we are given

rate as

(1)

we can set up integral for amount for first 5 days

now, we can solve each integrals

and combine them

...............Answer

(2)

firstly, we will find for first 4 days

The total amount of crude oil spilled during the 5th day is

..........Answer