Oil is leaking from a tanker at the rate of r(t) = 2000e^(-0.2t) gallons per hour where t is measured in hours. how much oil leaks out of the tanker from the time t = 0 to t = 10

270.67 gallons of oil leaks out of the tanker from the time t = 0 to t = 10

.

Given that,

Oil is leaking from a tanker at the rate of,

gallons per hour where t is measured in hours.

We have to determine,

How much oil leaks out of the tanker from the time t = 0 to t = 10

?

According to the question,

To determine the oil leaks out of the tanker from the time t = 0 to t = 10  following all the steps given below.

Oil is leaking from a tanker at the rate of,

gallons per hour where t is measured in hours.

To find the oil leaks out of the tanker from the time t = 0 to t = 10  integrating the rate of a gallon per hour.

Integrating the rate,

Hence, 270.67 gallons of oil leaks out of the tanker from the time t = 0 to t = 10

.

For more details refer to the link given below.

0.038

step-by-step explanation: