Chapter 3, Problem 3.5E

Interpretation Introduction

Interpretation:

The value of $T\left(s\right)$ for the given temperature profile is to be determined.

Concept introduction:

For a function $f\left(t\right)$, the Laplace transform is given by

$F\left(s\right)=\mathcal{L}\left[f\left(t\right)\right]={\displaystyle {\int }_0^{\infty }f\left(f\right)e^{-st}dt}$

Here, $F\left(s\right)$ represents the Laplace transform, $s$ is a variable that is complex and independent, $f\left(t\right)$ is any function of time which is being transformed, and $\mathcal{L}$ is the operator which is defined by an integral.