Numerical Methods - Old Questions

5. The temperature of a metal strip was measured at various time intervals during heating and the values are given in the table below.

Time (t min)	1	2	3	4
Temp (T °C)	70	83	100	124

If the relation between the time 't' and temperature 'T' is of the form: T = b e^(t/4) + a. Estimate the temperature at t = 6 minute. [5]