2019-05-28
when the price of a certain commodity is p dollars per unit consumers demand x units per month where 2p^2+3px-x^2=1. At what rate is demand changing with respect to time when the price is 2 dollars and is decreasing at a rate of 0.1 dollars per month? Round your answer to 2 decimal palces.
A cone's volume is decreasing at a rate of 30π cm^3 per minute while its height is increasing at a rate of 5 cm per minute, Find the rate at which the cone's radius is changing with respect to time when its height is 18 cm and its volume is 216π cm^3. (V=1/3 πr^2 h)