[Calculus] The power to propel an airplane (or even a bird) forward at a velocity, v, (hence the velocity is positive)

Question

I don't understand what I am supposed to do about this problem. If I could get some help that would be greatly appreciated.

It’s a plane; no, it’s a bird; no, it’s Superman! Actually, it’s just a bird. Birds and some fixed-wing aircraft follow a similar pattern to minimize power and energy during a flight.

The power to propel an airplane (or even a bird) forward at a velocity, v, (hence the velocity is positive) is P = Av³ (BL²/ v) where A and B are positive constants specific to the particular aircraft (or bird) and L is the lift, the upward force supporting the weight of the plane (or bird).

What is the implied domain of this function? Think about lower and upper bounds for velocity.

Answer 1

The domain are the permissible values of v. Minimum v will be L = mg or Weight

Maximum v will be limited by power possible for the plane or bird. v = sqrt(P_Lim/ABL²) after rearranging.

I'm not sure if that is what the questioner wants.