The rate,dy/dt, at which ice is forming on a pond is proportional to the square root oft. Letybe the thickness of the ice in inches at timetmeasured in hours since the ice started forming.

(a) Write the differential equation. Usek> 0 as the proportionality constant.

dy/dt=

(b) Solve the differential equation.

y(t) =

(c) If the thickness of the ice is 3 inches after 9 hours, what is the value ofk?

k=

a little help with these bad frickin johnnys...thanks

mathlete