Question: Use the inverse in Exercise 9 to find: (a) A point in the uv-plane mapping to (2, 1) (b) A segment in the uv-plane mapping

Use the inverse in Exercise 9 to find:
(a) A point in the uv-plane mapping to (2, 1)
(b) A segment in the uv-plane mapping to the segment joining (−2, 1) and (3, 4)


Data From Exercise 9

Show that the inverse of Φ is

(x, y) = (3x-y, -5x + 2y)

Show that Φ(Φ−1(x, y)) = (x, y) and Φ−1(Φ(u, v)) = (u, v).

(x, y) = (3x-y, -5x + 2y)

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a The inverse of Qu v is x y 3xy 5x 2y Therefore the point ... View full answer

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