A one-dimensional linear element is used to approximate the temperature variation in a fin. The solution gives the temperature at two nodes of an element as \(100^{\circ} \mathrm{C}\) and \(80^{\circ} \mathrm{C}\). The distances from the origin to node is \(6 \mathrm{~cm}\) and node \(j\) is \(10 \mathrm{~cm}\). Determine the temperature at a point \(9 \mathrm{~cm}\) from the origin. Also calculate the temperature gradient in the elements. Show that the sum of the shape functions at the location \(9 \mathrm{~cm}\) from origin is unity.