At some point as you are hiking near a lake, you determine that your campsite is 1.50 km away from you in the direction 30.0° e of n. however, to get back to your campsite, you will need to walk around the lake. you set off due north and walk for 600 m. you then turn in the direction 20.0 w of n and walk an addol1.20 km, before turning and walking directly to your campsite. how far and in what direction was the last leg of your hike?

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