Instructor's problems I Show that f (t),y(t)) is the parametrization of a curve, and F(x) is a differentiable function of r, then (á)2 d2 F dr2 da2 d2 F (The notation above is F-d2F/dt2, Do this by computing-_ and then solving for-, dx/dt /dt and the same for y.) You think of F(t) as a function of t and use the Chain Rule. Look over the derivation of the formula for dy/dr in the text or the notes. But I'm asking you here to derive the formula for dF/dr2 in a different way than they state in the text.) Apply the formula above to the function F(x) =y(x). In the text it is derived as: (dy/dx) dx/dt - Apply both these formulae to the example t) y(t) 3t that is discussed in the notes and in the text, and demonstrate that they provide the same answer (as they should) continued