Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone √x² + y2 that lies between the two planes z = 1 and z = 8 with an upward-pointing unit normal, vector using a line integral. Z= V F = (yz, -xz, z³) (Use symbolic notation and fractions where needed.) curl(F): = flux of curl(F) =

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A: Find the vector and parametric equations for the linethrough the point P4,-2,4 and parallel to the…

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Q: ector product of two vector fields: V × (F x G) = (V · G)F – (V · F)G + (G · V)F – (F · V)G %3D

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Q: Let F=(9xy,7y,8z)=(9xy,7y,8z). The curl of F=( Is there a function f such that F=∇f=∇?  (y/n)

A: The given function .We have to find the .

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Q: What is the direction vector of the parametric equation below? x=5+2t y=7-t Z=4 (2,-1,0) (5,7,4)…

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Q: 3. Determine vector and parametric equations for the plane through the point (1, -2, 3) and parallel…

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Q: is ndicular tò the plane containing the points: A = (-1,1, 2) B = (-3, 2, 1) C = (5 – 1, 1) the

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Q: Let F = SOFF Use Stokes' Theorem to evaluate . dr, where C is the triangle with vertices (6,0,0),…

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Q: (a) Find a vector function that describes the curve of the intersection of the cylinder z²+²=4 and…

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