43-48. Second derivatives For the following sets of variables, find all the relevant second derivatives. In all cases, first find general expressions for the second derivatives and then substitute variables at the last step.\f72. Change of coordinates Recall that Cartesian and polar coordinates are related through the transformation equations x = r cos 0 72 = x2 + y2 or y = r sin 0 tan 0 = y/x. a. Evaluate the partial derivatives Xr, yr, Xe, and yo. b. Evaluate the partial derivatives rx, ry, Ox, and Oy. c. For a function z = f(x, y), find z, and ze, where x and y are expressed in terms of r and 0. d. For a function z = g(r, 0), find zx and zy, where r and 0 are expressed in terms of x and y. oz 2 Oz 2 N ZO e. Show that + + Ox 7 2