Question: Show that the ellipsoid 3x 2 + 2y 2 + z 2 = 9 and the sphere x 2 + y 2 + z 2

Show that the ellipsoid 3x² + 2y² + z² = 9 and the sphere x² + y² + z² - 8x - 6y - 8z + 24 = 0 are tangent to each other at the point (1, 1, 2). (This means that they have a common tangent plane at the point.)

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