Part 2: Identify the independent, dependent, and constant variables Experiment 1: A soap manufacturer runs an experiment to compare the foaming action of different dish detergents. Equal

amounts of each brand of detergent are placed in identical containers half-filled with water. The water and dish detergent are at

a temperature of 20°Celsius. Each container is agitated for 30 seconds, and then the height of the foam is measured.

a. independent variable:

b. dependent variable:

C. constant variable(s):

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