The functiondescribes the temperature profile along a metal rod at time t > 0 when a burst of heat is applied at the origin (see Example 11). A small bug sitting on the rod at distance x from the origin feels the temperature rise and fall as heat diffuses through the bar. Show that the bug feels the maximum temperature at time t = 1/2 x².

Transcribed Image Text:

f(x, t) = 1 2nt -x/4t