Each graph shows the initial (time=0) temperature distribution for a metal rod which is insulated along its length and has its ends fixed at the temperature(s) shown. The system is allowed to come to equilibrium and will be modeled using python. Draw in different colors and label the expected temperature distribution output of the simulation a) shortly after the simulation begins (time2s) and b) after a very long time and the system has reached steady-state (time=).

Scenario 1 Initial Temperature Distribution Scenario 2 Initial Temperature Distribution Temperature (C) Temperature C) 0.02 0.08 0.10 0.00 0.02 0.08 0.04 0.06 Position (m) 0.10 0.04 0.06 Position (m) Scenario 3 Initial Temperature Distribution Scenario 4 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) 0.04 0.06 Position (m) Scenario 1 Initial Temperature Distribution Scenario 2 Initial Temperature Distribution Temperature (C) Temperature C) 0.02 0.08 0.10 0.00 0.02 0.08 0.04 0.06 Position (m) 0.10 0.04 0.06 Position (m) Scenario 3 Initial Temperature Distribution Scenario 4 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) 0.04 0.06 Position (m) Scenario 5 Initial Temperature Distribution Scenario 6 Initial Temperature Distribution 1.00 0.75 0.50 Temperature (C) Temperature (C) -0.50 -0.75 -1.00 0.00 0.02 0.04 0.06 Position (m) 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) Scenario 7 Initial Temperature Distribution Scenario 8 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.04 0.06 Position (m) 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) Scenario 1 Initial Temperature Distribution Scenario 2 Initial Temperature Distribution Temperature (C) Temperature C) 0.02 0.08 0.10 0.00 0.02 0.08 0.04 0.06 Position (m) 0.10 0.04 0.06 Position (m) Scenario 3 Initial Temperature Distribution Scenario 4 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) 0.04 0.06 Position (m) Scenario 1 Initial Temperature Distribution Scenario 2 Initial Temperature Distribution Temperature (C) Temperature C) 0.02 0.08 0.10 0.00 0.02 0.08 0.04 0.06 Position (m) 0.10 0.04 0.06 Position (m) Scenario 3 Initial Temperature Distribution Scenario 4 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) 0.04 0.06 Position (m) Scenario 5 Initial Temperature Distribution Scenario 6 Initial Temperature Distribution 1.00 0.75 0.50 Temperature (C) Temperature (C) -0.50 -0.75 -1.00 0.00 0.02 0.04 0.06 Position (m) 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m) Scenario 7 Initial Temperature Distribution Scenario 8 Initial Temperature Distribution Temperature (C) Temperature (C) 0.00 0.02 0.04 0.06 Position (m) 0.08 0.10 0.00 0.02 0.08 0.10 0.04 0.06 Position (m)