2. Consider steady heat conduction in polar coordinates: V2T(r, 0) = 0, where 0 ≤r ≤ a and 0 ≤ 0 ≤ π/2 with the following boundary conditions: T(r,0 = 0) 0,T(r, 0 = π/2) = 0,T(r = = 3 sin 40 = a, 0) (a) Sketch the domain of interest (note: it is not a full circle), (b) Solve analytically for T(r, 0). Show all steps of the procedure. = (c) Plot the solution. You can use the supplied code skeleton; be sure to also copy po- larplot3d.m to your working folder (but don't include it with your submission).

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