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Question: exercise 4 from rogawskiadams let 0...

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Exercise 4 (From Rogawski-Adams) Let 0< a< b two given reals. Let D be the strip-like domain in R2 bounded by the curves 0, y-0, y-a-x and y-b-z. Let us define moreover G : R2-R2 as G(u, u)-(u-uu, uu). (1) Show that the image of the horizontal line u = c is y-는 if cメ1 and it is the y-axis if c= 1. (2) Determine the images of vertical lines in the uOv plane. (3) Compute the Jacobian determinant of G at an arbitrary point (u, v).

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