Question

the cost of a certain piece of machinery is US$700 and its value is depreciating with time according to the formula dv/dt = -500(t + 1)^2 where V dollars is its value t years after its purchase. What is its value 3 years after its purchase?

Answer 1

since its calculus related, first integrate, dv/dt = -500(t + 1)^2
to get v=.... +c in terms of t.