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

Find translates Φ2 and Φ3 of the mapping Φ0 in Figure 15 that map the unit square R0 to the parallelograms P2 and P3.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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