Question

2. Suppose the temperature profile on a thin metallic wire is given by the two-part
function
￿T0e−kx for x ￿ 0 T(x) = T0ekx for x < 0.
assuming that a heat source maintains the temperature at T0 degrees at the point x = 0. The positive parameter k controls the decay of the temperature away form the source.
(a) Rewrite T(x) as a single-part function andplotitfork=0.1andk=0.01withintheinterval−10￿x￿10,ifT0 =55 C. Compare the shapes of the two graphs.