A one-dimensional quadratic element is used to approximate the temperature distribution in a long fin. The solution gives the temperature at three nodes as 100, 90, and \(80^{\circ} \mathrm{C}\) at distances of \(10 \mathrm{~cm}, 15 \mathrm{~cm}\) and \(20 \mathrm{~cm}\) respectively from the origin. Calculate the temperature and temperature gradient at a location of \(12 \mathrm{~cm}\) from the origin.