Compute the components of the deformation gradient matrix f associated with the following motions, and then calculate the corresponding values of lagrangian (green) strain tensor e and infinitesimal strain tensor e. for each case, give an estimate on how closely the infinitesimal assumption could capture the deformation. you can do this by plotting the strain measures as a function of the corresponding stretch or shear ratio, and define a threshold where you can capture over a certain percentage (say 80%) of the strain from the linear approximation. (a) x = xx, y=y, 2= 2. (b) r = x + ky, y=y, z = 2. (c) r = x cose + y sin 0, y = -x sin + y cose, 2= z.