Let X X U V U V2 And Y Y U V U2 V4

5. Let x = x(u, v) = u + v2, and y = y(u, v) = u2 + v4.(a). Find out where the Jacobian of the transformation equals 0, and find the chambers in the u-v plane where the Jacobian is positive and the chambers where it is negative.(b). Find the curves in the x-y plane that correspond to the rays in the u-v plane where the Jacobian equals 0. (One of the curves is only half a curve!)(c). As you go counterclockwise about the origin in the u-v plane, describe the correspondingmotion in the x-y plane, using your answer to part (a).

 

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