For a tapered wing with half-span of 4 units let \(\mathrm{x}\) be the chordwise and \(\mathrm{y}\) be the spanwise directions. The equation for the leading edge is given as: \(\mathrm{x}=0.15 \mathrm{y}, 0<\mathrm{y}<4\) and the trailing edge: \(\mathrm{x}=-0.025 \mathrm{y}+4,0<\mathrm{y}<4\). Using the two dimensional numerical transformation with \(0<\xi<1 \times 0<\eta<1\) for \(11 \times 11\) equally spaced discrete points transform the wing surface from \(x-y\) coordinates to \(\xi-\eta\) generalized coordinates. Find the metrics of transformation and Jacobian determinant at each discrete location.