The autumnal occurs in september when the days start getting shorter and the nights are longer in the northern hemisphere. during a new moon phase, spring tides produce the difference between high and low tides. tides are caused by pulling the water of the oceans and causing it to bulge toward the large masses of the moon and sun. during a lunar eclipse, the moon briefly passes through the where it receives much less sunlight causing the moon to appear dim. when the moon passes between the sun and the earth a/an eclipse occurs which momentarily blocks the sun's rays from reaching certain areas of the earth.

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.