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

Chapter 14, Problem 9E

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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.

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

Questions & Answers

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.

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

ANSWER:

Solution 9E

The image of the unit square boundary of is the boundary of

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