Suppose that T x T y and are defined as in Section 5.3 and that Show

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Suppose that Tx Ty and θ are defined as in Section 5.3 and that

T = T, sin 0 Ty cos 0, U = T, cos 0 + Ty sin 0

Show that the transformation from (Tx, Ty) to (T, U) has unit Jacobian and hence show that the density of T satisfies

p(T|x, y) x  [1 + (7 sine + U cos 0)/vx](v(x)+  [1 + (T cos  + U sin 0)/v](v(y)+)/2 du.

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