Question 7: Consider three transformations T, R, and W, given by (u, v) = T(s, t) = (6s, 8t) (x, y) = R(u, v) = ((cos 0)u - (sin 0)v, (sin f)u + (cos !) v) and 1 (a, b) = W(x, y) = - a + 1 co 48 y, 2x + Let C1 be a simple, closed curve in the s-t plane. Now, consider a new curve C2 formed by first 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 C1, producing an output curve C2. Prove that the area enclosed by a curve C2 is the same as the area enclosed by C1. You must explain every step of your