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**Tweety** A metal rod is 60cm long and is heated at one end. The temperature at a point on the road at a distance xcm from the heated end is denoted by T degrees Celsius At a point half way along the rod T= 290 and

$\displaystyle \frac{dT}{dx} = -6 $

In a simple model for the temperature of the rod, it is assumed that $\displaystyle \frac{dT}{dx} $ has the same value at all points in the rod. For this model, express T in terms of x and hence determine the temperature difference between the end of the rod.