4 determine curi \( \vec{F} \) at the point \( (2,0,3) \) siven that \( \vec{F}=z e^{2 x y} \dot{i}+z x y \cos y \tilde{\jmath}+(x+n) k \ldots>\% \)
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F = <-y^2, x, z^2>. Let C be the curve parameterized by r(t) = <cos t, sin t, 0>, 0 <= t <= 2pi. a) Compute int_C F * dr b) Evaluate int_C F * dr by using Stokes' Theorem where S is the top of the sphere x^2 + y^2 + z^2 = 1. c) Evaluate int_C F * dr by using Stokes' Theorem where S is z = 1 - x^2 - y^2.
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