Question: a 4. The initial temperature profile in a tissue is set to be T (x)=T. +T sin 2x , with To > T and equal

a 4. The initial temperature profile in a tissue is set to be T (x)=T. +T sin 2x , with To > T and equal to a positive constant. Over time, heat will diffuse in the tissue, and the temperature profile will change. Assume that the tissue's thermal properties are homogeneous and do not change with time. A) Qualitatively plot T versus x at four different times: initially, after a very short time, after a moderate time, and after a very long time. B) Are there any points in the tissue for which the temperature will never change over time? If so, what are the locations of these points? C) Find the steady-state temperature profile, assuming the tissue is infinitely large. a 4. The initial temperature profile in a tissue is set to be T (x)=T. +T sin 2x , with To > T and equal to a positive constant. Over time, heat will diffuse in the tissue, and the temperature profile will change. Assume that the tissue's thermal properties are homogeneous and do not change with time. A) Qualitatively plot T versus x at four different times: initially, after a very short time, after a moderate time, and after a very long time. B) Are there any points in the tissue for which the temperature will never change over time? If so, what are the locations of these points? C) Find the steady-state temperature profile, assuming the tissue is infinitely large
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