Consider the motion p(a, t) given by p(x, t) = ((1+t)α₁, a2 + ta3, -ta₂+ α3)² and let f(x, t) = tx₁ + ₂ be an Eulerian scalar field. Compute the material time derivative of f in two ways: Df af + (v. V)ƒ_ and Df = f(p(ax, t), t)]la=$(z,t) - Ət Conclude that these quantities agree but that D[(x, t)/(x, t). 31.

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