You are going to an ancient market. As a wealthy pumpkin farmer you are entering the market with 15 pumpkins. Your goal today is to purchase as many cats as possible for your nephew. After looking at each stall you find that you can trade your pumpkins for either carrots or hamburger at a rate of one pumpkin for four carrots or two pumpkins for three pounds of hamburger. Additionally you find that you can trade one parrot for three fish. Five fish for one cat. One pound of hamburger for two pickles. And four carrots for one parrot. By the end of the day you can go home with ___cats.

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