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(1 point) A one-meter long bar is heated unevenly, with temperature in C at a distance x meters from one end at timet given by

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(1 point) A one-meter long bar is heated unevenly, with temperature in \"C at a distance x meters from one end at timet given by H(x, z) = 120e'0'1'sin0rx) 0 S x S 1. On a sheet of paper. sketch a graph of H against x fort = O and t = 1. Think about why your graphs make sense. (3) Calculate each of: H x(0.2, t) = H x(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: H t(x, t) = (Again, be sure that you understand why it has the sign that it does, and what its interpretation in terms of temperature is.)

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