A parametrization maps a rectangle of size (0.01 times 0.02) in the (u v)-plane onto a small

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A parametrization maps a rectangle of size \(0.01 \times 0.02\) in the \(u v\)-plane onto a small patch \(\mathcal{S}\) of a surface. Estimate \(\operatorname{area}(\mathcal{S})\) if \(\mathbf{T}_{u} \times \mathbf{T}_{v}=\langle 1,2,2angle\) at a sample point in the rectangle.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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