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Show that the surfaces are tangent to each other at the given point by showing that...

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Advance Math

Show that the surfaces are tangent to each other at the givenpoint by showing that the surfaces have the same tangent plane atthis point. x2 + y2 + z2 ? 20x ? 16y + 2z + 115 = 0, x2 + y2 + 6z =17, (5, 4, ?4)

Both surfaces have the tangent plane of (answer )

at (5, 4, ?4), therefore they are tangent to each other at thispoint.

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