A one-meter long bar is heated unevenly, with temperature in C at a distance x meters from one end at time t given by

H(x,t)=120e^(0.05t)sin(x)

0x1

. On a sheet of paper, sketch a graph of H against x for t=0 and t=1

. Think about why your graphs make sense. (a) Calculate each of:

a)

Hx(0.2,t)=

Hx(0.8,t)=

b)

Ht(x,t)=