(1 point) A one-meter long bar is heated unevenly, with temperature in "C at a distance 3: meters from one end at timet given by H(x, t) = 120e'0'1'sin(7rx) 0 S x S 1. On a sheet of paper. sketch a graph of H against x fort = 0 and t = 1. Think about why your graphs make sense. (a) Calculate each of: H x 0.2, t) = Hx(0.8, t) = (Be sure that you can say in words what the practical interpretation n terms of temperature) of these two partial derivatives is, and why each has the sign that it does.) (b) Calculate: Hf(x! 1) = (Again, be sure that you understand why it has the sign that it does, and what its interpretation in terms of temperature is.)