A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the results of the exact solution for the heat equation. Calculate the temperatures along the mid-plane of the plate (x = 1 m) at y = 0.25, 0.5, and 0.75 m by considering the first five nonzero terms of the infinite series. Assess the error resulting from using only the first three terms of the infinite series. Plot the temperature distributions T(x, 0.5) and T(1.0, y).