Stokes theorem Consider the Area: P := {(x, y, z) € R³ : 4x² +9y² < 1, z = (4x² +9y²)²} Let n be the unit normal vector

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Stokes Theorem Consider The Area P X Y Z R 4x 9y 1 Z 4x 9y Let N Be The Unit Normal Vector 1 (57.12 KiB) Viewed 23 times

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Stokes theorem Consider the Area: P := {(x, y, z) € R³ : 4x² +9y² < 1, z = (4x² +9y²)²} Let n be the unit normal vector in (x, y, z) € P which point upwards. Let u be the vector field given by v(x, z, y) = (1, xe², x - y) for (x, y, z) = R³ Calculate the following integral with help of Stokes theorem Sp ² rot vn dS