?[T] Evaluate where S is the surface defined by \(\mathbf{R}(u, v)=u \mathbf{i}-u^{2}

Chapter 6, Problem 294

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[T] Evaluate where S is the surface defined by \(\mathbf{R}(u, v)=u \mathbf{i}-u^{2} \mathbf{j}+v \mathbf{k}\), \(0 \leq u \leq 2\),\(0 \leq v \leq 1\). for \(0 \leq u \leq 1\),\(0 \leq v \leq 2\).

Text Transcription:

R (u, v) = ui - u^2 j + vk

0 leq u leq 2

0 leq v leq 1

0 leq u leq 1

0 leq v leq 2

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