1. Demand for a good is given by p=100e^(-0.00125x) ( $p/unit, x units/mo.)
If price is currently $30.00/unit but is decreasing at the rate $1.50 per month, at what rate is demand increasing right now?
2. The height(m) of a particle (moving vertically) at time t>=0 (sec.) is s=te^(-t^2). What is the greatest speed of the particle? Is it on the way up, or down?