8. On your trip to the beach you drove 40 miles in a time of 30 minutes, then got stuck in traffic and drove 10 miles in 45 minutes, then speed up and drove 50 miles in 60 minutes. What is your average speed for the trip in miles per hour?

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