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QUESTION

The points (0, −6, 0), (√ 5, 4, 0), and (2, 0, 3) lie on the ellipsoid given by the equation x 2 a 2 + y 2 b 2 + z 2 c 2 = 1, for some positive real numbers a, b, and c. find the point at which th

The points (0, −6, 0), (√ 5, 4, 0), and (2, 0, 3) lie on the ellipsoid given by the equation x 2 a 2 + y 2 b 2 + z 2 c 2 = 1, for some positive real numbers a, b, and

c. find the point at which this ellipsoid intersects the positive z-axis.

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