Transforming a square Let S = {(u, v): 0 u 1,

Chapter 14, Problem 10E

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QUESTION:

Transforming a square Ler \(S=\{(u, v): 0 \leq u \leq 1 \text {, }\) \(0 \leq v \leq 1\}\) be a unit square in the uv-plane. Find the image of S in the xv-plane under the following transformations.

\(T: x=2 u v, y=u^{2}-v^{2}\)

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QUESTION:

Transforming a square Ler \(S=\{(u, v): 0 \leq u \leq 1 \text {, }\) \(0 \leq v \leq 1\}\) be a unit square in the uv-plane. Find the image of S in the xv-plane under the following transformations.

\(T: x=2 u v, y=u^{2}-v^{2}\)

ANSWER:

Solution 10EThe image of the unit square boundary of is the boundary o

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