Along rectangular bar 0 ≤ x ≤ a and 0 ≤ y ≤ b, of length l (a, b), is heated with a uniform heat flux qb on the surface y = b. the other surfaces are kept at constant temperature t0. if the conductivity of the bar is k, derive the expressions for the steady-state: (a) temperature distribution in the bar t = t(x, y), and (b) maximum temperature in the bar.

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. this process was repeated by 3 observers. the pooled standard deviations of these 3 data sets was 1.21. determine the true mean force using all pooled data (with a 95% probability). the result should look like this: true mean = mean +/- margin of error