After dropping a box containing converging lenses, an explorer needs to determine tAfter dropping a box containing converging lenses, an explorer needs to determine the focal length of each lens. He places a bright flashlight 0.6 m from the lens such that the light shines through the lens. The image of the filament in the bulb is brought to a sharp focus on a sheet of paper held 0.2 m on the opposite side of the lens from the flashlight.

What is the focal length?

+ 0.6 m

- 0.2 m

+0.15 m

- 0.15 m

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