Determine the flux of F(x, y, z) = < −x2 + x, y, 8x3 − z + 9 > across the surface with an upward orientation. Let the surface be the portion of the paraboloid z = 9 − 4x2 −4y2 on the first octant above the plane z = 1. (note: do not use gauss' theorem)

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Q: Determine the intersection of the hyperbolic paraboloid z = (y2/b2) − (x2/a2) with the plane bx + ay…

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Q: Evaluate F.ndS for the given F and o. (b) F(x, y, z) = (x² + y) i+ xyj– (2xz + y) k, o: the surface…

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Q: parametrization of the surface z = 3x² + 8x, ymbolic notation and fractions where needed.

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A:

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A: Answer is mentioned below

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A: We find the scalar equation for a plane at a distance 6 from the plane P with equation 2x+y-2z=5.