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3. Set up_~ but do not eyaluate1 the double integral of z = _.I{:r:_ y} over the region R in the ryplane that computes the

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3. Set up_~ but do not eyaluate1 the double integral of z = _.I"{:r:_ y} over the region R in the ryplane that computes the volume of the solid 5 determined by f by responding to questions a.]I-f.]| 1 z = my y? over R = the triangular region bounded by the lines 1; = 23:, y = Em. and y 2 = |[.1r: 1} Please notice that these lines intersect at the points {Hill}, [2+ 1} and {1,2}. a.} Given R in the problem1 find the region S in the Lou plane by finding the transformation T'1 : R 3~ S. Recall that the data of the transformation T'1 is a pair of functions G and H such that u = Clasp} and 1: = H {3:1 1;}. In practical terms~ this means solving for :r and 3; along the boundary of the region R. b.) Justify your solution from a.) by identifying what components of the boundaryr of 5 correspond under 1'4 to the components of the boundary of R

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