Question
An oil rig breaks and begins to leak oil into the arctic ocean at an increasing rate of R(t) = 20t + 20 litres per day. At the instant of breakage (t=0), 100 litres of oil was spilled into the ocean via the emergency release valve. What is the equation V(t), the amount of oil (in litres) leaked into the ocean at time t days?
how do i use integrals?
how do i use integrals?
Answers
Reiny
So 20t +20 L/day is the rate of spilling oil
that is, dV/dt = 20t+20
V = 10t^2 + 20t + c
given: when t = 0, V = 100, then c = 100
V(t) = 10t^2 + 20t + 100
that is, dV/dt = 20t+20
V = 10t^2 + 20t + c
given: when t = 0, V = 100, then c = 100
V(t) = 10t^2 + 20t + 100