Let R 0 = [0, 1] [0, 1] be the unit square. The translate of a

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Let R0 = [0, 1] × [0, 1] be the unit square. The translate of a map Φ0(u, v) = (ϕ(u, v), ψ(u, v)) is a map

D(u, v) = (a + d(u, v), b + y(u, v)) where a, b are constants. Observe that the map Do in Figure 15 maps Ro

Sketch the parallelogram P with vertices (1, 1), (2, 4), (3, 6), (4, 9) and find the translate of a linear mapping that maps R0 to P.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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