Question 7: Consider three transformations T, R, and W, given by (11M!) 2 T(s,t) = (63, 8t) (2:, y) = R(u, v) = ((cos (9)11 (sin 6):), (sin 6hr + (cos 19):!) 1 1 3 7 b : W 1 Z _ J 2 _ (a ) (x y) (3\" 481" x+ 6y) Let C1 be a simple, closed curve in the s-t plane. Now, consider a newr curve 02 formed by rst applying the transformation T, then applying the transformation R, and then applying the transformation W. In other words, consider the transformation W(R(T(s,t))) applied to an input curve Cl, producing an output curve 02. Prove that the area enclosed by a curve 02 is the same as the area enclosed by 01. You must explain every step of your