Tanner wants to fill his swimming pool using two hoses, each of which sprays water at a constant rate. Hose AA fills the pool in aa hours when used by itself, where aa is a positive integer. Hose BB fills the pool in bb hours when used by itself, where bb is a positive integer. When used together, Hose AA and Hose BB fill the pool in 66 hours. How many different possible values are there for a? a) 5
b) 6
c) 9
d) 10
e) 12

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x, y,t)along the plate at any time t. b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax