Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. if f(t) = a e^{-k t}, write a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour. total quantity = \int_{a}^{b} (where a = and b = ). what are the units of this integra

Step-by-step explanation:

We are given the following in the question:

Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes.

Let V be the volume, then we are given that rate of leakage is:

Thus, we can write:

We have to find the  a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.

Thus, total amount of oil leaked will be the definite integral from 0 minutes to 60 minutes.

The units of integral will be liters.

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°