?Match the given transformation with the image (labeled I-VI) of the set \(S=\{(u, v)
Chapter 14, Problem 1(choose chapter or problem)
Match the given transformation with the image (labeled I-VI) of the set \(S=\{(u, v) \mid 0 \leqslant u 1,0 \leqslant 1,0 \leqslant v \leqslant 1\}\) under the transformation. Give reasons for your choices.
(a) \(x=u+v\) (b) \(x=u-v\)
\(y=u-v\) \(y=uv\)
(c) \(x=u \ \cos \ v\) (d) \(x=u-v\)
\(y=u \ \sin \ v\) \(y=u+v^{2}\)
(e) \(x=u+v\) (f) \(x=uv\)
\(y=2v\) \(y=u^{3}-v^{3}\)
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