Consider the region D in the first quadrant of R2 bounded by

Last updated: 6/21/2023

Consider the region D in the first quadrant of R2 bounded by the curves y x 9y x y and 16x y3 as pictured below 3 2 1 Y 16r y3 D 2 9y 2 r y 3 I 4 a Find a transformation u v T x y such that the image T D of D under T is a rectangle in the uv plane Justify your answer x y b Find the Jacobian Express your answer in terms of u and v a u v c Use the change of variables theorem to compute ff1dA d What goomotr quentity doon