Let F(x, y, z) = z tan-(y²)i + z³ In(x² + 2)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 6 that lies above the plane z = 2 and is oriented upward. F. dS =

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Q: B) Find the value of k so that the line: [x, y, z) = [2, -2, 0] + [3, 5, k] is parallel to the…

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Q: (c) Find the flux of F through S. Show your work, and circle your final answer. (Note: This exercise…

A: c) Given the field equation, F=-9zi+xexz-2xex2j+12k The surface S is the portion of the plane…

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Q: 1. Let U(x, y, z) be the scalar function: U(x,y,z) = xy/z+yz/x +zx/y a. Find VU b. curl (V U)

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Q: Let F = . [F Use Stokes' Theorem to evaluate F.dr, where C is the triangle with vertices (7,0,0),…

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Q: Let F = –9zi+ (xe*z – 2xe*² ) }+ 12 k. Find f, F •dÃ, and let S be the portion of the plane 2x + 3z…

A: Given, F→=-9zi^+xexz-2xex2j^+12k^ and S be the portion of the plane 2x+3z=6 0≤y≤4

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Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

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